Calculating Distance Traveled on a Rotating Wheel

In summary, a wheel with a radius of 2.8 m rotates through angles of 30 degrees, 30 radians, and 30 revolutions. Using the formula s = r * theta, the distance traveled by a point on the circumference is approximately 1.48 m, 30.8 m, and 188.5 m, respectively. For the angles in degrees and revolutions, they must be converted to radians to use the formula.
  • #1
featherua08
5
0
[SOLVED] Rotational Motion question!

Homework Statement


A wheel has a radius of 2.8 m. How far does a point on the circumference travel if the wheel is rotated through angles of 30 degrees, 30 radians, and 30 revolutions?


Homework Equations





The Attempt at a Solution


I tried to use s=2pie(r) & theta=s/r but neither worked.

This problem seems like it would be super easy, but I really have no idea how to do it! Help!

Thanks!
 
Last edited:
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  • #2
It is super easy. s=r*theta works if the angle is measured in radians. That makes the 30 radian part pretty easy. For the others you'll need to convert degrees and revolutions to radians.
 
  • #3
Thank you!
 

Related to Calculating Distance Traveled on a Rotating Wheel

1. What is rotational motion?

Rotational motion is the movement of an object around an axis or center point. It is a type of motion that involves a circular or curved path.

2. What are the different types of rotational motion?

The different types of rotational motion include uniform circular motion, non-uniform circular motion, and rotational motion with constant acceleration.

3. What causes rotational motion?

Rotational motion is caused by a force applied at a distance from the axis of rotation, known as torque. This force causes the object to rotate.

4. How is rotational motion measured?

Rotational motion is measured using angular velocity, which is the rate of change of angular displacement over time. It is typically measured in radians per second (rad/s) or revolutions per minute (rpm).

5. What are some real-life examples of rotational motion?

Some examples of rotational motion in everyday life include the rotation of a wheel or a spinning top, the movement of a ceiling fan, and the rotation of the Earth around its axis.

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