# what is the angular displacement of the wheel between t = 5 s and t = 15 s?

**Given Data**

- The angular displacement at t=5s in the angular displacement and time graph is: θ5=100rad.

- The angular displacement at t=15s in the angular displacement and time graph is: θ15=125rad.

**(A)**

The expression to calculate the angular displacement of the wheel between t=5s and t=15s is:

θ=θ15−θ5

Substitute all the values in the above expression.

θ=125rad−100radθ=25rad

Thus, the angular displacement of the wheel between t=5s and t=15s is 25rad.

**(B)**

The expression to calculate the angular velocity of wheel at t=15s is:

ω=θ15t15

Here, t15 is the time at the fifteenth second of the angular displacement and its value is 15s.

Substitute all the values in the above expression.

ω=125rad15sω=8.33rad/s

Thus, the angular velocity of wheel at t=15s is 8.33rad/s.