Purchase Solution

Power needed to rotate wheels 1 and 2, torque, rotation

Not what you're looking for?

Ask Custom Question

Gears are important components in many mechanical devices, from mechanical clocks to bicycles. In fact, they are present whenever a motor produces rotational motion.

An example of a simple gear system is shown in the figure. (Intro 1 figure) The bigger wheel (wheel 1) has radius r1 , while the smaller one (wheel 2) has radius r2. The two wheels have small teeth and are connected through a metal chain so that when wheel 1 rotates, the chain moves with it and causes wheel 2 to rotate as well.

A) Let wheel 1 rotate at a constant angular speed W. Find the ratio W1/W2 of the angular speed of wheel 1 to the angular speed of wheel 2. Express your answer in terms r1 and r2.

B) The rotation of wheel 1 is caused by a torque T1. Find the ratio r1/r2 of the torque acting on wheel 1 to the torque acting on wheel 2. Express your answer in terms of r1 and r2.

C) If the power needed to rotate wheel 1 is P1, what is the ratio P1/P2 of the power of wheel 1 to the power of wheel 2?

Purchase this Solution

Solution Summary

The power needed to rotate wheels 1 and 2, torque and rotation.

Solution Preview

a) Since the gears are connected through a chain they have the same circumferential linear ...

Purchase this Solution

Free BrainMass Quizzes
Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.

Basic Physics

This quiz will test your knowledge about basic Physics.

Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

Intro to the Physics Waves

Some short-answer questions involving the basic vocabulary of string, sound, and water waves.

The Moon

Test your knowledge of moon phases and movement.