Question

a bicycle wheel with a radius of 0.31 m rotates with an angular speed of 21 rad/s about its axle, which is at rest. What is the linear speed of a point on the rim of the wheel

Answer 1

The linear speed is 6.51 m/s

Step-by-step explanation:

Uniform Circular Motion

It's a movement of an object along the circumference of a circle. It can also be defined as a rotation along a circular path.

The angular speed can be calculated as follows:

`\displaystyle \omega=(v)/(r)`

Where:

v = tangential or linear speed

r = radius of the circle described by the rotating object

To calculate the linear speed, solve for v:

`v = \omega\cdot r`

`v = 21\ rad/s\cdot 0.31\ m`

`v = 6.51\ m/s`

The linear speed is 6.51 m/s