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.
Homework Statement
A 1.00×104 railroad car is rolling at 4.00 when a 2000 load of gravel is suddenly dropped in. What is the car's speed just after the gravel is loaded?
Homework Equations
f=ma
pi=pf
The Attempt at a Solution
I am very confused with this problem, but this is...
A 0.25 kg ball is attached to a 26-cm piece of string. The ball is first raised so that the string is taut and horizontal, then the ball is released so that, at the bottom of its swing, it undergoes an elastic headon collision with a 0.21 -kg ball that is free to roll along a horizontal table...
Homework Statement
A spring with a spring- constant 3.4N/ cm is compressed 29cm and released. The 2 kg mass skids down the frictional incline of height 50 cm and inclined at 21 degrees angle.
The acceleration of gravity is 9.8 m/s^2.
The path is frictionless except for a distance of .07 m...
This question was actually a 3 part question. I answered (a) and (b) correctly however I can't figure out how to calculate the 'final velocity of the skydiver'. Here are the givens:
x axis
v1 - 90 m/s
acceleration - zero
delta t - 10.6 seconds
delta d - 958.5 m
Y axis
v1 = 0
delta t...
m1 = 5, v1i = +10
m2 = 3, v2i = 0
+y
|_+x
How do I find v1f and v2f?
The balls crash into each other and after the crash I want to know the final velocity.
A glider of mass 0.147 kg is moving to the right on a frictionless, horizontal air track with a speed of 0.720m/s . It has a head-on collision with a glider 0.309 kg that is moving to the left with a speed of 2.26 m/s. Suppose the collision is elastic. Find the magnitude of the final velocity of...
A ball (A) is launched straight down from a cliff while another (B) is launched straight up from the floor of the cliff. The final velocity for ball A is the inital velocity for ball b. Where will they cross paths? Up high, in the middle or down low?
Also, 2 balls are launched upwards...
Homework Statement
A spaceship of mass 2000000kg is moving with a constant velocity of 3.0 \times 10^4 ms^{-1}. It is suddenly hit by a mysterious force of 8.0 \times 10^{10}N for 10s in the opposite direction to its motion. What is the final velocity and direction of motion?
Homework...
Question is a golf ball is dropped from a height of 78m assuming gravity is 9.8 m s, What is the velocity of the ball after the first 10m.
I assume the equation to use is v^2=u^2+2ax
v = Final velocity
u = Initial Velocity
a = Acceleration
x = Displacement
So I plug in v^2 =...
Homework Statement
A glider of mass 0.143 kg is moving to the right on a frictionless, horizontal air track with a speed of 0.750 m/s. It has a head-on collision with a glider 0.303kg that is moving to the left with a speed of 2.13 m/s. Suppose the collision is elastic.
Homework...
Homework Statement
A constant force of 4.0 N to the right acts on a 3.0 kg mass for 0.45 s.
a)Find the final velocity of the mass if it is initially at rest.
b)Find the final velocity of the mass if it is initially moving along the x-axis with a velocity of 12 m/s to the left...
Ehhhhh... this really isn't a "homework" problem but something derived out of curiosity(But I guess it could be considered homework-esque).
Homework Statement
Basically, not accounting for drag or friction, what'd be the final velocity of a projectile launched from a compressed air chamber of...
"The Hall car of mass m-c is connected to mass m-2 by a string as shown in the figure below. The string passes over a solid cylindrical pulley, which has a frictionless bearing of radius R and mass M. When the system is released from rest the string does not slip, the Hall car moves down the...
[SOLVED] Final Velocity (involving momentum)
Homework Statement
A 0.329-kg puck, initially at rest on a frictionless horizontal surface, is struck by a 0.222-kg puck that is intitially moving along the x-axis with a velocity of 2.24 m/s. After the collision, the 0.222-kg puck has a speed of...
Homework Statement
Find the final velocity of the object if it is initially moving along the x-axis with average velocity of -62 m/s.
Other information
mass=.462kg
time=5s
average force = 0.8N
impulse=4
Homework Equations
F=m(Vf-Vi)/t
The Attempt at a Solution
I use the equation like this...
A shopper pushes a 25.0kg cart intially at rest with a froce of 25.0N directed at an angel 25 degress downward from the horizontal over a distance of 5.00m
a) the work done by th shopper is ?
b) The final velocity of the cart is
Homework Statement
A block starts from rest at a height of 4:6 m on a fixed inclined plane.
The acceleration of gravity is 9.8 ms^2. The box is 3.9 kg. The coeffiecient of friction is 0.18. The angle of the ramp from the ground up is 35 degrees.
What is the speed of the block at the bottom...
Dan starts from rest and started running for a distance of 6.0 x 10(power of 1) m in 8 s. [4 Marks]
a) What was Dan’s final velocity at this time?
6*10 = 60 -> 60/8 = 7.5
7.5m/s <-- is this right?
b) What was the acceleration of Dan?
7.5-0 divided by 8 = 0.9375
so 0.9375m/s...
can i just multiply the acceleration by time to get the final velocity? and then, if i wanted to get distance with the same three variables-time, acceleration, and velocity, would i just multiply velocity by total time i am given?
thanks in advance. I'm trying to clear some things up...
the left ventricle of the heart accleartes blood from rest toi a velocity of +26 cm/s.
A)if the displacement of the blood during the acceleration is +20 cm, determine its accleatrion in (cm/s)
b) How much time does the blood take to reach its final velcoity?
Kindly please provide steps...
Homework Statement
An object of mass M begins with a velocity of 0 m/s at a point. A power input of P watts goes directly to kinetic energy until the object has traveled a distance of X meters. What is the final velocity of the object?
So, we have constant variables
M = mass
X = distance...
Homework Statement
If you have an object, say, falling off a cliff
and you have initial velocity (Vox) can you assume that its Vf would be zero in both x and y if it doesn't state or ask for a final velocity before impact?
eg) a car drives off a cliff and the site of impact is 32 m from...
If the speed of a car is increased by 75%, by what factor will its minimum braking distance be increased, assuming all else is the same
I am not sure what formulas i should use for this problem. Am i souposed to use the formula for Final velocity which is
Velocity Final^2=...
I have an airsoft gun that i am trying to find the acceleration for
Initial Velocity=0
Final Velocity= 106.68 m/s
Distance Traveled=.762meters
Is there any way i can find the acceleration with that information, i have no way to find an accurate time.
Okay, so I've been working on an extended practical investigation. And I am a little stuck. Heres a brief overview:
Using a ramp(always at the same angle to the horizontal), and a truck and a stopwatch, I've timed the amount of time it takes for the truck to reach the bottom of the ramp, with...
I'm having trouble with this problem:
So for this problem i used F=ma:
79g-88=79a
a=8.6861m/s^2
this is the correct acceleration i believe and to find final velocity i used:
Vf^2=Vi^2+2ad where d is displacement
Vf^2=2(8.6861)(25)
vf=20.85m/s
I'm using utexas's webhw service, and the...
Here is the given problem:
http://img213.imageshack.us/img213/6781/problemtk6.jpg
Here is my incorrect solution:
http://img152.imageshack.us/img152/6698/solutionzm3.jpg
Why should distance even matter for the final velocity in this problem since once the spring is uncompressed...
A yo-yo of mass .3 Kg with a radius .03 m spins on an axel of radius .02 meters. It is dropped a distance .8 m, what is its final velocity?
I started:
mg -T=ma
mr(0)t = I(alpha)-->(alpha)= a/r
So:
mg - (Ia)/mr(0)^2 = ma
a = mg/ (m + I/(mr(0)^2)
I = 1/2 mR(1)^2
I checked over this...
The Background:
This is a question that is worth extra credit for my Honors 131 Physics class in college. This course is the first calculus-based physics course that I have taken so I've been having trouble with integrating calculus into some physics equations.
Thus far we have learned...
hey,
I’ve been wondering for quite sometime now that if I am given values for displacement, time, and final velocity if it were able to calculate the acceleration and the initial velocity? I have been trying to rearrange the formulas:
v = u + at
v^2 = u^2 + 2as
s = ut + .5at^2
but...
a 2000 kg truck is traveling south, a sports car is traveling west. they become entangled in a collision and leave a skid mark that is 20 meters long in a direction 14 degrees to the west of the direction of travel of the truck. Coefficient of sliding friction between tire and road is 0.6. what...
I have this question that I have been pondering about for over an hour now :
What is the final speed of an electron accelerated through a potential difference of 200V if it has an initial speed of 2.0x10-6C and mass of electron +9.11x10-31.
Now I read the forum rules and I knowI have to help...
The force shown in the force-time diagram acts on a 538 g object. Find the final velocity of the object if it is initially at rest. Answer in m/s.
I correctly found the impulse by determining the area underneath the curve. It's 7 N s. I know that we can determine the final velocity by...
An electron has a mass of 9.1*10^-31 kg. Between the electrodes of a cathode-ray tube, it moves a distance of 4.0mm, accelerated by a net electrical force of 5.6*10^-15 N. Assuming it started by rest, find it's acceleration and final velocity.
I found the acceleration to be 6.15*10^15 m/s^2...
We have to solve this problem, but also do a write-up on it similar to how the textbook gives example problems. Here is the problem:
Your school science club has devised a special event for homecoming. You've attached a rocket to the rear of a small car. The rocket provides a constant...
Okay...I am think that I am totally lost on this problem.
A helicopter holding a 70-kilogram package suspended from a rope 5.0 meters long accelerates upward at a rate of 5.2 m/s^s. When the upward velocity of the helicopter is 30 meters per second, the rope is cut and the helicopter...
two bullets (bullet A and bullet B) are fired at a 45 degree angle to the horizontal. They hit each other and merge. If air resistance is not negligable, the x velocty would be zero since the initial velocites and mass of the two bullets are the same. This cancels each other out. What happens to...
Need help determining the following:
A 50kg object moving at 20 m/s collides with a 10-kg object moving at 5 m/s. They stick together and move off together. What is their final velocity?
I know how to determine this if one object was stationary, but in this problem, both are moving...
Three Physics 111 AP students, each having a mass of 60kg, climb onto a large flatbed cart that has a mass of 120 kg. Standing at one end and taking turns they run to the opposite end and jump off, one immediately following the other, each with a velocity of 10 m/s with respect to the cart...
A 1.50 kg snowball is fired from a cliff 13.5 m high with an initial velocity of 14.0 m/s, directed 41.0° above the horizontal.
(a) Using energy techniques, rather than techniques of Chapter 4, find the speed of the snowball as it reaches the ground below the cliff.
ok so I used the equation...
A boy fires a "BB" gun at an angle of 28o above the horizontal. The "BB" strikes a target that is a vertical distance of 1.6 meters above and 12.8 meters to the right of the muzzle (exit point) of the gun. Assuming the bullet has a negative vertical velocity when it strikes the target...
Problem: The acceleration of a particle is given by Ax(t) = -2.00m/s^2 + (3.00m/s^2)t. A) Find the initial velocity such that the particle will have the same x-coordinate at t= 4.00s as it had at t= 0. B) What will the velocity be at t= 4.00s?
Work so far:
Integrated to get these:
Vx(t)...
I got this problem and it just stumped me. Can anyone give me the solution? Anyways, here's the question:
Show that the average velocity of a body undergoing constant acceleration, and starting from rest. is half of its final velocity.
Thanks in advance
OK, many people in my class got a different answer from each other, so could someone verify my work for me please? Here's the problem:
A car (m=1000kg) driving at 20 m/s goes over a ramp angled at 37 degrees with a height of 5 m. How fast is the car traveling when it hits the ground 15 m...
Three students, each having a mass of 60 kg, climb onto a large flatbed cart that has a mass of 120 kg. Standing at one end and taking turns they run to the opposite end and jump off, one immediately following the other, each with a velocity of 10 m/s with respect to the cart. Calculate the...