# physics

A large wooden wheel of radius R and the moment of inertia I is mounted on an axle so as to rotate freely. A bullet of mass m and speed v is shot tangential to the wheel and strike its edge, lodging in the wheel’s rim. If the wheel was originally at rest, what is its rotation rate just after the collision?

1. 👍 0
2. 👎 0
3. 👁 341
1. Initial angular momentum about axis =
Mbullet*Vbullet*R

This equals the final angular momentum,
(Iwheel + Mbullet*R^2)*w_final

w_final = (Mbullet*Vbullet)*R/(Iwheel + Mbullet*R^2)

1. 👍 0
2. 👎 0

## Similar Questions

1. ### physics

A torque of 77.7Nm causes a wheel to start from rest , completes 5.55revolutions and attains a final angular velocity of 88.8rad/sec . What is the moment of inertia of the wheel?

asked by gloria on June 21, 2020
2. ### math

A 0.500 kg wheel that has a moment of inertia of 0.015 kg m^2 is initially turning at 30 rev/s. it starts to rest after 163 revolution. how large is the torque that slowed it?

asked by krisna on April 23, 2017
3. ### astronomy

Rank the following hypothetical planets -- all of which have the same total mass and same radius -- from lowest moment of inertia to highest moment of inertia: 1) A uniform sphere of mixed up rock and iron 2) A rocky planet with

asked by keitanako on April 14, 2014
4. ### Trigonometry

A point on the rim of a wheel of unknown radius in a pulley system has a velocity of 16 in/min. The wheel is making 4 rpm. If the radius of the other wheel is 8 inches, find the 8" wheel's rpms and the unknown wheel's radius. I

asked by MB on February 13, 2017
5. ### Physics help

A light rope is wrapped several times around a large wheel with a radius of 0.435 m. The wheel? A light rope is wrapped several times around a large wheel with a radius of 0.435 m. The wheel rotates in frictionless bearings about

asked by BB on February 27, 2012
1. ### physics

A small rubber wheel is used to drive a large pottery wheel, and they are mounted so that their circular edges touch. The small wheel has a radius of 1.7 cm and accelerates at the rate of 6.9 rad/s^2, and it is in contact with the

asked by rob on October 18, 2010
2. ### Physics

A mass m=400g hangs from the rim of a wheel of radius r=15cm. When released from rest, the mass falls 2.0m in 6.5sec. Find the moment of inertia of the wheel

asked by José on March 21, 2012
3. ### Physics

What is the moment of inertia of an object that rolls without slipping down a 2.00-m-high incline starting from rest, and has a final velocity of 6.00 m/s? Express the moment of inertia as a multiple of MR2, where M is the mass of

asked by Justin on July 14, 2013
4. ### Physics Help!

Sorry I've tried 3 different ways to answer this and all have been wrong, please help me out! The moment of inertia of a 1.1 kg bicycle wheel rotating about its center is 0.15 kg*m^2 What is the radius of this wheel, assuming the

asked by Sally on November 5, 2009