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
Hello! This is my first time posting here but I have been viewing these forums for help in my physics class for a while. Lately I have been stuck on one single problem that I haven’t been able to find any help with anywhere online. Any who, here is the problem: a cat...
Homework Statement
In the last second of a hockey game, a player slaps the puck in the empty net 32.5 m away. The puck leaves the stick with the speed of 41.5 m/s. Calculate the final velocity of the puck if its mass is 0.17 kg.Homework Equations
μK = 0.005
μK = FK / FN
F = ma
v22 = v12 +...
Homework Statement
Calculate the final velocity of a rocket if the velocity of the ejected gas is c, initial mass of rocket is M0 and final mass is Mr, v0=0.
Homework Equations
We have to calculate the final velocity of rocket.
The Attempt at a Solution
Because the total momentum...
Homework Statement
http://imgur.com/fGYf0
Stuck on #3
Homework Equations
V = Vi + a*t
Y = (1/2)gt^2 + (ViY * t) + Yi
The Attempt at a Solution
I have found the vertical and horizontal components and the initial velocity.
ViX = 6.2
ViY = 9.922
Vi = 11.7
Yf = 0
Yi = 7
Xi =...
Homework Statement
This is a homework that has me completely stumped. If anyone help me out here, I would greatly appreicate it.
A billard ball is east at 2.0 m/s. A second, idential ball is shot west at 1.0 m/s. The balls have a glancing collision (not head-on), deflecting the second ball...
1.A tennis ball is dropped from 1.3 m above the
ground. It rebounds to a height of 0.956 m.
With what velocity does it hit the ground?
The acceleration of gravity is 9.8 m/s^2
(Let
down be negative.)
Answer in units of m/s
2.With what velocity does it leave the ground?
Answer in units of m/s...
Homework Statement
a human cannonball in 1940 soared over three ferris wheels, each 18 meters high covering a horizontal distance of 10.63 meters. Assuming that the point of projection is 2.50 meters above the ground and that he landed safely on a net placed at the same level, find his initial...
Homework Statement
Mass= 15g
Q1= 8.0uC
Q2= 25 uC (stationary)
Q1 is released from a point 12cm from Q2. How fast will Q1 be moving when the separation is 20cm.
Homework Equations
F=ma
F=qe
F=kQq/r2
E=kQ/r2
Ke=mv2/2
W=FD
vf2=vi2+2ad
The Attempt at a Solution...
If an object starts with an initial velocity of 0, and has a velocity of 1.07 m/s after 20 cm, what is the velocity at 1 meter, assuming a constant acceleration? I do not know how long it takes to travel the full 1 meter. All I know is that after 20 cm the velocity was 1.07 m/s and it took 177...
Suppose a projectile is fired upward from the surface of the Earth. If the initial speed of the projectile is v = 12.0 km/s (more than the escape velocity): how fast will it be moving it is so far from Earth that the force of gravity is approximately zero?
The equation I was given to solve...
Homework Statement
A boy throws a rock off of a cliff that is 33m high. The rock weights 1 kilogram and it's inital velocity is 13.5m/s. It is thrown at an angle of 40° with the horizon.
Initial Velocity = 13.5m/s
mass = 1 kg
θ=40°
Δy = 33m
g = 9.81 m/s^2
Homework Equations...
Homework Statement
A spherical bowling ball with mass m = 3.2 kg and radius R = 0.112 m is thrown down the lane with an initial speed of v = 8.1 m/s. The coefficient of kinetic friction between the sliding ball and the ground is μ = 0.32. Once the ball begins to roll without slipping it...
Homework Statement
Mass m1=6kg traveling with velocity 4 m/s collides with mass m2=16kg traveling with velocity 3m/s in the direction shown (m2= is at an angle of 60degress). If the two masses stick together, find the final velocity of the combined masses, and the kinetic energy lost...
I have a question. I'm conducting a drop test for packaging material and I need to find the pressure at the point of impact.
What I did was drop a 18 lb ball 18".
I converted the mass to 3.629g and the distance to 0.4572m to work in S.I. units
then used the equation 2ad=Vf^2-V0^2. Afetr...
Homework Statement
a small truck of mass 2.00*10^3 kg traveling at 72.0km/h experiences a force of 1.00*10^4 N for 0.800 s, when the brakes are applied. What is the final velocity?
Homework Equations
The Attempt at a Solution
Homework Statement
I have been given this example with the following questions:
1. Two rocks are thrown off of a cliff with the same initial speed, v. The first rock is launched with at an angle Ө directed below the horizontal as shown below as 1, while the second rock is launched above at the...
Homework Statement
A moving proton has 6.4x10^-16 J of kinetic energy. The proton is accelerated by a potential difference of 5000 V between parallel plates.
http://members.shaw.ca/barry-barclay/Self-Tests/test09/elecst17.gif
The proton emerges from the parallel plates with what...
Homework Statement
A ball of mass 0.440 kg moving east (+x direction) with a speed of 3.30 m/s collides head on with a .220 kg ball at rest. If the collision is perfectly elastic what will be the speed and direction of each ball after the collision?
Homework Equations...
Homework Statement
You throw a ball straight up @ 22m/s and you catch it 3.6 seconds later. How fast was it going when you caught it?
Homework Equations
v_f=v_i+at
The Attempt at a Solution
I found the right solution. But to me, it seems it should be more complex then this...
Homework Statement
A small robotic spacecraft (m= 145kg) is initially moving in the +x-direction at .150 m/s. Then, its x-axis thruster exerts the following force on the spacecraft :
Fx(t) = -5.00 N during 0s<t<1.5s
-9.00 N during 1.5s< t< 3.25s
-6.00 N during...
Homework Statement
Shouldn't average velocity multiplied by 2 be equal to final velocity. We were doing a lab and we calculated an average time of .54 seconds to travel 1.92 meters. Multiplying the average velocity by 2 gives an extremely different answer than vf=gt. I know there is...
Hello everyone, I'm stuck on a dynamics review question. I was told to solve like I would with other inclined planes, however mass was not given. I am not sure how to proceed.
Homework Statement
A roller coaster reaches the top of the steepest hill with a speed of 1.4 m/s. It then descends...
I've been given this problem http://i.imgur.com/7XtYt.png and I had no idea of how to come up with an answer since it is a circular path. The only thing that occurred to me is find the initial height using the chord length formula for a circle and then treat that chord as the hypotenuse of a...
Homework Statement
a) A jet fighter has two engines each generating 70,000 N of thrust. What is the acceleration of the 15,000 kg jet?
b) The above jet reaches a final velocity of 240 m/s. What is the frictional force on the jet?
Homework Equations
Ff= Fn(mew?)
F=MA
?
The...
Final Velocity...
Problem: A hockey puck is given an initial velocity of 40.0 m/s
along the ice. Find the speed of the puck 1.00 s later if
the coefficient of kinetic friction (U) between puck and ice is
0.600. (HINT: The result is independent of the mass of
the puck.)
My solution...
Homework Statement
A woman running at constant velocity speeds up and accelerates uniformly to the west by running 253 m west in 6.12 s. ff she ends up getting up to a velocity of 5.05 m/s w, how fast was she going originally? If she had run the same disance in 5.50 s, what would her average...
1. Determine the acceleration of an object whose velocity is initially 24 cm/s and which accelerates uniformly through a distance of 66 cm in 3.8 seconds.
2. s = (vf + v0) / 2 * t,
3. I tried rearranging that formula but I got vf= 477.6. This just doesn't make any sense
Homework Statement
a car is at a velocity of 20 km/h if the car traveled 120 km in 3 hours at constant accelration. what is the final velocity?
Homework EquationsV^2=Vo^2+2ad
The Attempt at a Solution
I am completely confused. The book does not even list the particular formula above. And...
The image below "gives, as a function of time t, the force component x that acts on a 2.40 kg ice block that can move only along the x axis. At t = 0, the block is moving in the positive direction of the axis, with a speed of 2.5 m/s. What is its velocity, including sign, at t = 11 s...
1. I am doing an experiment. I am rolling a ball down textbook that is propped up on one side. If the ball rolled 11 inches in 1.875 seconds. How can I get the final velocity and the change in velocity?
2. I know I can get the average velocity by dividing 11/1.875 and the initial velocity...
Hello guys, I am not sure whether this is actually a simple problem but I'm not really a physics student, just someone very passionate for it.
So I'm trying to use Newton's second law in its relativistic version (force is equal to the rate of change in momentum) to find the velocity and...
A roller coaster (475kg) passes point C with a velocity of 10.0 ms-1, calculate the velocity of the roller coaster at point A.
mass = 475 kg
velocity at C = 10 ms-1
height at A = 30m
height at B = 0m
height at C = 25m
height at D = 12m
Ep = mgh
Ek = 1/2mv^2
The trolley is moving...
The tallest volcano in the solar system is the
19 km tall Martian volcano, Olympus Mons.
An astronaut drops a ball off the rim of the
crater and that the free fall acceleration of the
ball remains constant throughout the ball’s
19 km fall at a value of 4 m/s2. (We assume
that the crater is...
A model rocket has a mass of 3.00kg. It is fired so that when it is 220 m above the ground it is traveling vertically at 165m/s. At the point its fuel runs out so that the rest of the flight is without power. Assume that the effect of air friction is negligible and that all potential energies...
Every object has the same mass and shape etc.
Object a is dropped from the side of the ramp straight down
Object b slides down an angled ramp
Object c slides down a ramp that is curved
Facts
No friction
All objects sliding
All initial velocities are equal
All Intial positions are the...
Homework Statement
I am trying to find the final velocity from the given data
Work - 3000J
Mass - 1/2d (d = distance travelled)
Initial Velocity - 7m/s
Time - 7 seconds
Homework Equations
W=change in energy
W=Fd
The Attempt at a Solution
W =work
F=force
m=mass
a=acceleration
d=distance traveled...
Hi, I've been given an assignment from college which has me totally baffled! (Ashamed to say this is my weakest subject ha)
I have read the rules and I do not wish for my work simply done for me, just a explanation would be brilliant! Or a similar question would be great so I could...
Homework Statement
Two insulating spheres having radii 0.22 cm
and 0.42 cm, masses 0.16 kg and 0.47 kg, and
charges −4 μC and 5 μC are released from
rest when their centers are separated by 1 m.
How fast is the smaller sphere moving when
they collide?
Answer in units of m/s...
if a ball is thrown and caught at the same height with constant horizontal velocity and no vertical displacement is its initial and final velocity the same?
since v2y^2=v1y^2+2aDy, no displacement means final vertical velocity will be the same as initial,
since v2x=v1x, horizontal velocity...
Homework Statement
Two cars, both of mass m, collide and stick together. Prior to the collision, one car had been traveling north at speed 2v, while the second was traveling at speed v at an angle \phisouth of east (as indicated in the figure). After the collision, the two-car system travels at...
Homework Statement
A cliff diver runs horizontally at 4.00 m/s. He hits the water 3.00 s later. Ignore air resistance.
(a) What is the diver's speed (magnitude of the velocity vector) just before he hits the water? Homework Equations
Change in y-component: y(t) = vyot + (1/2)g(t^2)
Change in...
Homework Statement
A man stands on the roof of a 10.0 m -tall building and throws a rock with a velocity of magnitude 24.0 m/s at an angle of 30.0 degrees above the horizontal. You can ignore air resistance.
Calculate the magnitude of the velocity of the rock just before it strikes the ground...
Homework Statement
A dynamite blast at a quarry launches a chunk of rock straight upward, and 2.1 s later it is rising at a speed of 19 m/s. Assuming air resistance has no effect on the rock, calculate its speed at (a) at launch and (b) 5.2 s after the launch.
Homework Equations
v = v0 +...
Homework Statement
A space vehicle traveling at a velocity of 1200ms -1 separates by a controlled explosion into two sections of mass 865kg and 2010 kg. The two parts carry on in the same direction with the heavier rear section moving 120 ms -1 slower than the lighter front section...
Hi,
I'm studying for my final exam in Physics tomorrow (doing a review packet) but I keep forgetting the equation/formula needed to find final velocity (not the one with the distance, but the one with time). I don't have most of my notes as my teacher keeps folders of our work and notes at...
Homework Statement
It gives the mass, energy gained (change in energy), initial velocity and power and time
I need to find final velocity
Homework Equations
EK= 0.5mv^2
The Attempt at a Solution
I was thinking of plug in the number into above formula but if i do this i won't be...
Homework Statement
The graph below shows the force applied to a 3.8 kg cart initially at rest but free to move on a horizontal track. Calculate the final velocity of the cart, after being subjected to the forces illustrated in the graph.
The graph is attached.
Homework Equations
Okay so I...
Homework Statement
A skier leaves the ramp of a ski jump with a velocity of 10.9 m/s, 13.9° above the horizontal. The slope is inclined at 48.4°, and air resistance is negligible. Calculate the velocity components just before the landing. Enter the x-component (horizontal) first and then the...
A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 4.7x10^10 m (inside the orbit of Mercury), at which point its speed is 9.6x10^4 m/s. Its farthest distance from the Sun is far beyond the orbit of Pluto. What is its speed when it is 6x10^12 m from...
Homework Statement
A spring with a spring-constant 2.5 N/cm is compressed 35 cm and released. The 4 kg mass skids down the frictional incline of height 37 cm and inclined at a 20◦ angle. The acceleration of gravity is 9.8 m/s2 . The path is frictionless except for a distance of 0.5 m along the...