Knowee
Questions
Features
Study Tools

A wheel is rotating at a rate of 1.90 revolutions every 3.96 s. Through what angle does the wheel rotate in 1.00 s? Give answer in radians, do not enter unit.

Question

A wheel is rotating at a rate of 1.90 revolutions every 3.96 s.

Through what angle does the wheel rotate in 1.00 s?

Give answer in radians, do not enter unit.

🧐 Not the exact question you are looking for?Go ask a question

Solution

First, we need to find out how many revolutions the wheel makes in one second. We know that it makes 1.90 revolutions every 3.96 seconds, so we divide 1.90 by 3.96 to get the number of revolutions per second:

1.90 revolutions / 3.96 s = 0.479 revolutions/s

Next, we need to convert revolutions to radians, since one revolution is equal to 2π radians. So, we multiply the number of revolutions per second by 2π to get the angle in radians:

0.479 revolutions/s * 2π rad/revolution = 3.01 rad/s

So, the wheel rotates through an angle of 3.01 radians in one second.

This problem has been solved

Similar Questions

The moment of inertia of a car's wheel is 0.4 kg m². If the wheel is rotating at 300 rpm, what is its angular velocity in radians per second?

A flywheel makes 240 revolutions per minute. What is the angular velocity expressed in radians?

A truck with 0.420-m-radius tires travels at 32.0 m/s. What is the angular velocity of the rotating tires in radians per second? What is this in rev/min?

A merry-go-round makes 3 completerevolutions every 9 minutes. What is itsangular speed in rad s–1

If an object is travelling in circular motion and its period is 3.0 s, how many revolutions will it complete in 1 minute?

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.