Final velocity Definition and 247 Threads

A gear train is a mechanical system formed by mounting gears on a frame so the teeth of the gears engage.
Gear teeth are designed to ensure the pitch circles of engaging gears roll on each other without slipping, providing a smooth transmission of rotation from one gear to the next. Features of gears and gear trains include:

The ratio of the pitch circles of mating gears defines the speed ratio and the mechanical advantage of the gear set.
A planetary gear train provides high gear reduction in a compact package.
It is possible to design gear teeth for gears that are non-circular, yet still transmit torque smoothly.
The speed ratios of chain and belt drives are computed in the same way as gear ratios. See bicycle gearing.
The transmission of rotation between contacting toothed wheels can be traced back to the Antikythera mechanism of Greece and the south-pointing chariot of China. Illustrations by the Renaissance scientist Georgius Agricola show gear trains with cylindrical teeth. The implementation of the involute tooth yielded a standard gear design that provides a constant speed ratio.

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  1. B

    Final velocity of proton after being repelled?

    Homework Statement What will be the final velocity of a proton (when it is very far away) if it it released from rest at the center of a uniformly charged hoop and given a slight push in one direction. assume it follows the axis of the hoop. mass of proton: m = 1.67x10-27 kg charge of proton: q...
  2. B

    Calculating Final Velocity in Free Fall from Given Displacement and Acceleration

    Homework Statement The Drop Zone drops riders 27m from rest before slowingthem to a stop. How fast are they moving before they start slowing down? vf=? vi=0, di=27m[up], df=om, displacement=27m[down], acceleration=9.8m/s^2[down] Air resistance is negligable Homework Equations...
  3. R

    Final velocity of a car rolling down a ramp using energy

    Homework Statement I am tasked with finding the theoretical final speed of a car rolling down a hill using energy calculations. I am given the angle of the incline, the height of the ramp, the length of the hill (horizontal and actual length) and the mass of the car. Also, the car is starting...
  4. jcruise322

    Final velocity of satellite that falls from orbit

    Hey, how's it going! Just a little confused about how to do the problem below. Any help would be appreciated! 1. Homework Statement A satellite of mass m=100,000 kg is moving around the Earth in a circular orbit at an altitude of 100,000 feet above the surface. If the satellite were stopped and...
  5. D

    Perfectly Elastic Collision Arrow / Finding Final Velocity

    Homework Statement [/B] Person A fires a 222 g arrow towards an archery target at a speed of 109 m/s. Person B shoots a 190. g arrow moving in the same direction. This arrow moves with a speed of 290. m/s, catches up, and then collides with Person A's arrow. If the arrows collide in a...
  6. PrincessYams

    Finding Electric Field, Potential, and Final Velocity

    Homework Statement [/B] Three point charges are arranged as shown here: http://puu.sh/ltvxF.png a. Find the electric field at point A. (Give as vector, either as i and j or magnitude and direction.) b. Find the potential at point A. c. If an electron is placed at point A and released, what is...
  7. S

    Finding final velocity for Conservation of Energy Problem

    Homework Statement Problem statement and diagram in the photo Homework Equations K = 1/2 mv^2 U = mgh The Attempt at a Solution E_0 = E1 K_0 + U_0 = K_1 + U_1 using relevant equations and solving for v1 I get: v_1 = sqrt((v_0)^2 + 2gh_1) Then E_1 = E_2 solving for the final velocity and...
  8. J

    How to find the final velocity o

    The question is: a bullet that is shot from a target is traveling at an initial speed of 80 m/s and it is 6 m away from its target. The target is wearing a bullet proof vest that is 0.26 m thick. As the bullet makes contact with the vest is slows down at a rate of 9000 m/s2. What is the final...
  9. Mr Davis 97

    What Is the Final Velocity of a Projectile on an Elevated Green?

    Homework Statement A golfer hits a shot to a green that is elevated 3.0 m above the point where the ball is struck. The ball leaves the club at a speed of 14.0 m/s at an angle of 40.0° above the horizontal . It rises to its maximum height and then falls down to the green. Ignoring air...
  10. M

    Find the final velocity of the block

    Homework Statement So here is the problem, There is a .03kg block that is in an inverted cone, the cone has a slant length of 15 cm and a radius of 4 cm, and the coefficient of friction is .35. The block rotates around the inside of the cone, seamlessly, until it hits the bottom of the cone...
  11. A

    How do I find final velocity using conservation of energy

    Homework Statement A paintball gun launches a paintball off a cliff at an angle of elevation of 45°. The cliff is 165 m high. The paintball is initially moving at 180 m/s. Calculate the speed of the paintball as it hits the ground. I'm having trouble understanding how to solve this, I have...
  12. V

    Comp Sci 2D collision detection / determining final velocity - Java

    Homework Statement Determine if two circular objects (both moving or one stationary), collide and if so, determine their final velocity. The two objects are being rendered using Graphics's Java library class, updating their position 60 times per second. Their position (x,y) is determined based...
  13. I

    Initial and final velocity from a sheared casting

    Good evening all, I am looking for a little guidance with relation to trying to find the initial and impact velocity of a section of a steel casting if it shears. Given the results of stress analysis, the mass of the sheared section would be 200kg maximum. The input force at that would be...
  14. Ayesha Shafique

    Final Velocity of 5.0g Bullet: 117m/s

    What will the final velocity of 5.0 g bullet starting from rest if a net force of 45 N is applied over a distance of 0.80 m ?2.3. i tried to solve it but i don't know of my anwer is correct F=ma, F/m=a 45/.005 kg a=9000m/s^-2 From this formula ( d=1/2at^2) we can say that Time= 2d/a and...
  15. gracy

    Final velocity in SUVAT equations -- ball thrown from a wall

    Homework Statement :[/B]There is a wall of height 30 meters.From the top edge of the wall a ball is thrown up with a velocity of 5m/s.Find the time taken by the ball to come to the base of the wall. Take g=10 m/s^2 Homework Equations :I used V=u+at[/B]The Attempt at a Solution v=0 as ball will...
  16. N

    Projectile Motion- magnitude of final velocity

    Homework Statement Consider a cannon on a 50m high cliff. The cannon shoots a cannonball with an initial speed of 200m/s at an angle of 30°, causing the cannonball to land 41m away from the cannon. What is the magnitude of the velocity of the cannonball the instance just before it hits the...
  17. RJLiberator

    Energy Methods + Pulley + Friction, finding final velocity

    Homework Statement The pulley in the figure has radius R=0.160m and a moment of Inertia I_p = 0.560 kg*m^2. The rope does not slip on the pulley rim. As m_4 (4kg block) drops due to gravity, m_2 (2kg block) is dragged up a ramp inclined at theta = 65 degrees. The coefficient of kinetic friction...
  18. F

    Using Energy Equations to find Final Velocity

    Homework Statement A box slides down an inclined plane (angle = 37*). The mass of the block is 35 kg, the coefficient of kinetic friction between the box and the ramp is 0.3, and the length of the ramp is 8 m. If it starts from rest at the top of the ramp, with what speed does it reach the...
  19. C

    Calculating Final Velocity of a Car Using Uniform Acceleration

    Homework Statement A car enters the freeway with a speed of 6.4 m/s and accelerates uniformly for 3.2 km in 3.5 minutes. How fast in m/s is the car moving after this time? Homework Equations DeltaX=1/2(vi+vf)(DeltaT) Displacement=1/2(initial velocity + final velocity)(Time interval) The...
  20. H

    Final velocity of a ball down a ramp.

    Homework Statement If a ball is dropped down a ramp of any shape, will the acceleration always be 9.8 assuming there is no friction. Homework Equations I know you can use mgh = 1/2mv^2 to solve for velocity, but can you use vf^2 = vi^2 + 2(a)(d) The Attempt at a Solution If you use both...
  21. Diego Fernandez

    Calculating Net Force results in a final velocity

    Homework Statement As simple as the question may seem, I require some honest help. I'm particularly new to physics. The question is the following: A net force of magnitude 4.0N acts on a body of mass 3.0kg for 6.0 s. The body is initially at rest. Which of the following is the speed of the...
  22. N

    Calculating speed with mass and final velocity

    Homework Statement a cart, with a mass of 1 kg, on an air track is pushed from rest, for a certain length in time (5 seconds) until it reaches a speed of 3 m/s what speed will a cart of mass 2kg reach when pushed with the same force for the same time? Homework EquationsThe Attempt at a Solution
  23. J

    Can we use conservation of energy law to find final velocity

    Homework Statement It's a simple problem, you kick a ball with an initial velocity of 5.4 m/s, the angle is 30 degrees. So the question is when does it land on the ground? So I thought that I could find final velocity so that I can use V = V(initial) + acceleration * time. My question is, can...
  24. J

    Initial Velocity of Second Rail Car in Inelastic Collision

    Homework Statement A Rail car with a mass= 27000kg's moving at 4m/s collides with another rail car with mass 80,000kg that was moving towards the first. After the collision, both cars come to a complete stop, what was the initial speed of the second rail car? Homework Equations...
  25. N

    Finding Final Velocity of Mass 1 After Collision

    Homework Statement Mass 1 (2.77 kg) moves with an initial velocity (1i - 1j) and mass 2 (1 kg) starts at rest. After the collision, M2 moves with a velocity of (2i - 3j). What is the final velocity of m1?Homework Equations Since they don't stick together, KE and linear momentum are conserved...
  26. M

    Finding Final Velocity: Calculating the Velocity of a Rock Tossed Straight Up

    I am not good at typing out formulas and equations on the internet, so I took pictures of what I did instead. I hope that's not too informal. 1. Homework Statement A rock is tossed straight up with a velocity of 19 m/s. When it returns it fell into a 10 m deep hole. Q: What is the rock's...
  27. ellipsis

    Final velocity of a rocket launching to space

    Background This is for a video game, "Kerbal Space Program"... I'm sure some of you here have heard of it. It's the type of game you guys would be interested in. I have built a program to design rockets, but I'm not sure what the optimal thrust-to-weight ratio is. That is, how much fuel I...
  28. Nathanael

    Acceleration due to Gravity and Final Velocity

    Two objects, both of mass "m", start out, at rest, a distance "h" apart (the radius of both objects is negligable). What speed will one of the objects have when they collide? (relative to the original "resting" speed) The whole point (without going into why) is to solve the problem without...
  29. I

    Final velocity after distance given acceleration with respect to time

    Homework Statement I am given an equation for the acceleration of an object with respect to time a(t). I know that it will be accelerating over a certain distance d, after starting at rest. How do I find the final velocity that this object has reached after traveling the distance d...
  30. D

    Tennis ball's final velocity without it's initial

    Homework Statement Here is the question I'm trying to answer: A tennis player hits a 1.45 kg tennis ball with a racket of mass 2.5 kg. If he hits the ball with a velocity of 7.5 m/s and then stops, what impulse did he imply on the ball? What is the ball’s velocity? Homework Equations...
  31. 1

    What is the relationship between ramp height and final velocity of a marble?

    Homework Statement A marble is released from a 10cm ramp. Its final velocity is 1.4 m/s. If it is released from a 20cm ramp, twice the height, what will its final velocity be? Homework Equations E = mgy + mv^2/2 mgy = mv^2/2 (Like initial gravitational potential energy will equal final kinetic...
  32. P

    Final velocity of a falling object

    I was reading The History of Physics by Isaac Asimov, and I came across this passage. "Imagine a body dropped first from a height of 1000 kilometers, then from 2000 kilometers, then from 3000 kilometers, and so on. The drop from 1000 kilometers would result in a velocity of impact v_{1}. If...
  33. O

    Final velocity and total mass of train car below hopper

    Homework Statement A cart, starting at rest, is below a hopper at t=0. The hopper drops coal into the cart at a constant rate μ. At t=0 a constant force starts pushing the cart to the right and the coal begins to fall. The force ends once the back of the cart passes the hopper. A) Find...
  34. L

    Final Velocity of a Spaceship Approaching Earth from Infinity Due to Gravity

    Homework Statement Assuming the Earth is at rest and alone in the universe what speed would a spaceship arriving at the surface of Earth from an infinitley large distance be if the speed at infinity= 0 and acceleration is caused only by gravity Homework Equations F= \frac{GmM}{x^2}...
  35. G

    Finding Final Velocity of Skaters

    Homework Statement During an ice show, a 60.0 kg skater leaps into the air and is caught by an intially stationary 75.0 kg skater. Homework Equations What is their final velocity assuming negligible friction and that the 60.0 kg skater's original horiziontal velocity is 4.00 m/s? How...
  36. lonewolf219

    Finding the final velocity using momentum and KE

    Before the collision, there are two masses. Mass 1 is at rest and mass 2 is moving. No friction. It is an elastic collision and mass 2 is moving in positive x direction. After the collision, is it correct that mass 1 moves in positive x direction but mass 2 rebounds and moves in negative x...
  37. O

    Final Velocity in parallel plate capicator?

    1. The plates of a parallel plate capacitor are separated by a distance (4cm). A point charge of magnitude (q=2e) (3.2*10^-19 C) is fired horizontally through a small hole in the positive plate of the capacitor. The charge is fired with speed (8.5 *10^5 m/s) and, upon reaching point M (located @...
  38. G

    Finding Final Velocity & Displacement

    Homework Statement A man shoots an arrow 145m/s at 61o from a height of 15m where the ground below is the origin. A.) Where will the arrow be in 1.5 seconds (X,Y)? B.) What will be the displacement when the arrow lands in regards to where it was shot from Homework Equations I...
  39. M

    Aircraft runway question - Acceleration, Time and Final Velocity

    Question: An aircraft of total mass 1.5 x 10^5kg accelerates at maximum thrust, from rest along a runway for 25s reaching the required take off speed of 65 ms^-1. Assume that the acceleration of the aircraft is constant. Calculate the distance traveled in this time. My attempt: I...
  40. D

    Find acceleration given initial and final velocity, and displacement

    [b]1. An electron in the cathode ray tube of a television set enters a region where it accelerates uniformly from a speed of 62300 m/s to a speed of 3.86 × 106 m/s in a distance of 3.17 cm. What is its acceleration? [b]2. a = [Vf2 - Vi2] / [2d] [b]3. a = [(3.86 × 106)m/s2 - 62300m/s2]...
  41. D

    Motion problem Final velocity of a dropped stone

    Hi everybody I got this from a book A stone is dropped from a height of 50 m and it falls freely. Calculate the velocity of the stone when it reaches the ground. Assuming g = - 9.8 ms2 ,negative as its going downwards . Using v2 = u2 + 2a(x - x0) v2 = 02 + 2(-9.8)(-50-0) I got...
  42. E

    Final velocity with air resistance

    Ok so I am working on this problem and can only get through the first question, the second question keeps stumping me. I have uploaded the question along with my calculations for part a so you can see what I'm doing. ----- A object of mass (m) is shot vertically up with V0 200 m/s...
  43. W

    Calculating Final Velocity of Two Objects

    A space vehicle traveling at a velocity of 100m/s separates by a controlled explosion into two sections of mass 850kg and 250kg. The two parts carry on in the same direction with the heavier rear section moving 120m/s slower than the lighter front section. Determine the final velocity of each...
  44. Sneakatone

    How to find final velocity with given slope and mass?

    Because of brake failure, an automobile parked on a hill of slope 1:10 rolls 12 m downhill and strikes a parked automobile. The mass of the first automobile is 1400 kg, and the mass of the second automobile is 800 kg. Assume that the first auto- mobile rolls without friction and that the...
  45. T

    How to find acceleration from only initial and final velocity

    Homework Statement A novice snowboarder who weighs 60kg is sliding down a 10 degree slope at a constant velocity of 8 m.s^-1. When they reach the bottom of the slope, they slow down due to the kinetic friction between the snowboard and the snow. Find the rate at which the skier is de...
  46. N

    Derive Formula for Final Velocity (v2) Without Time

    Homework Statement Derive the formula for final velocity, v_2, without time included in said formula. \overrightarrow{a}: Known \overrightarrow{s}: Known v_1: Known \Delta t: Unknown (can be calculated, but defeats the purpose) \overrightarrow{v_2}: Unknown and to be calculatedHomework...
  47. S

    Rope pulling cylinder - final velocity?

    Homework Statement A massless rope is wrapped several times around a solid cylinder of radius 20cm and mass 20kg, which is at rest on a horizontal surface. Someone pulls 1m of the rope with a constant force of 100N, setting the cylinder in motion. Assuming the rope neither stretches nor slips...
  48. B

    Finding the final velocity of a proton

    Homework Statement A charged particle (either an electron or a proton) is moving rightward between two parallel charged plates separated by distance d = 1.90 mm. The particle is slowing from an initial speed of 93.5 km/s at the left plate. The left plate has V=-70V and the right plate has...
  49. B

    Question on considering final velocity

    Homework Statement bolt comes loose underneath an elevator that is moving upward at a speed of 6.0 m/s and reaches the bottom in 3.0s . find how high above the bottom of the shaft it came loose and the speed of the bolt when it hits the bottom. i figured out the problem but my question is...
  50. R

    Help with Potential Energy vs Kinetic Energy and finding final velocity

    Ok before we get to number 3, I need to show you what I did for number 2 because this is kind of a two-part problem: PEinitial + KEinitial = PEfinal + KEfinal mgy + (1/2)mvi2 = (1/2)mvf2 gy + (1/2)vi2 = (1/2)vf2 (9.81)(10) + (1/2)(102) = vf2/2 98.1 + 50 = vf2/2 148.1 = vf2/2 2(148.1) = vf2...
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