Explanation:
(a) Find the magnitude of the angular acceleration of the wheel.
- angular acceleration = angular speed /time
- angular acceleration = 12.9/2.98 = 4.329rad/s²
(b) Find the angle in radians through which it rotates in this time interval.
- angular speed = 2x3.14xf
- 12.9rad = 2 x3.14
- rad = 6.28/12.9
- rad = 0.487
Now we convert rad to angle
- 1 rad = 57.296°
- 0.487 = unknown angle
- unknown angle =57.296 x 0.487 = 27.9°
The angle in radians = 27.9°
