Question

A car tire rotates with an average angular speed of 32 rad/s. In what time interval will the tire rotate 3.5 times? Answer in units of s.

Answer 1

`\Delta t = 0.687\ s`

Step-by-step explanation:

given,

Angular speed of the tire = 32 rad/s

Displacement of the wheel = 3.5 rev

Δ θ = 3.5 x 2 π

= 7 π rad

now,

Time interval of the car to rotate 7π rad

using equation

`\omega_(avg) =(\Delta \theta)/(\Delta t)`

`\Delta t=(7\pi)/(32)`

`\Delta t = 0.687\ s`

Time taken to rotate 3.5 times is equal to 0.687 s.