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.

View More Free Quizzes
Related BrainMass Solutions

  • Escalator mechanism

    Electric motor rotation speed, f_m = 3600 rpm = 3600/60 = 60 rps wheel rotation speed, f_w = w_w/(2*pi) = 2.1/(2*3.1415) = 0.334 rps Gear box ratio, R = f_m/f_w = 60/0.334 = 179.5 Because, wheel power = motor power => Torque on wheel (T_w)

  • Torque Function Defined

    But while torque is usually applied to rigid bodies, such as wheels and levers, it does not have to be. The concept of torque can be applied to any body with respect to a fixed point in space.

  • Physics: Linear vs Rotational Speed, Bicycle Speed, and Rotation

    If smaller wheels with a 25-centimeter radius are installed, what is the change in linear speed of the bicycle if the wheels rotate at 1 revolution per second?

  • Rotation: Tipping or sliding.

    This force is also create a torque which is trying to rotate the compressor anticlockwise about its center of mass and due to which the line of action of the normal reaction of the surface on the compressor (N = mg) is shifting to left, providing a torque

  • Trigonometry and Plotting Trigonometric Equations

    151820 Trigonometry and Plotting Trigonometric Equations Two wheels are rotating in such a way that the rotation of the smaller wheel causes the larger wheel to rotate.

  • Understanding strength and torque.

    4238 Understanding strength and torque. 1 Provide an example of torque that is important in your sport? 2. Define strength and explain why strength varies through a joints range of motion?

  • rotation, torque, and angular acceleration

    172673 rotation, torque, and angular acceleration Please see attachment. Thank You your help is greatly needed. 12. A top is spinning counterclockwise as shown in the figure. It is also moving to the right with a linear speed v.

  • Moment of a force: Normal force on the wheels.

    Considering torque (force*perpendicular distance from the axis of rotation) about the axis passing through the rear wheels we have (anti clock wise Positive) Torque on the plane about R = - W*RG + N1*RF = 0 gives N1 = (W*RG)/RF or N1 =

  • Velocity, conservation of momentum, force, force of gravity

    Answer: Well, if there is no slip between the wheels and the ground, then every time the wheels rotate once, the bike will have advanced by the circumference of the wheel - 2 m.

View More Related Solutions