Question

how do I find angular acceleration of the wheel here?

Answer 1

If someone could at least start me off :(

Answer 2

You need to find Torque from the Force and radius values. From the Torque value and moment of inertia, you can get angular acceleration. I did not put formulae in here, hoping you would remember them. Let me know if this helps.

Answer 3

(1) Determining the Torque:
Torque = F × d
Torque = 22 N × 17.5 cm
Torque = 22 N × 0.175 m
Torque = 3.85 N•m

(2) Determining angular acceleration (denoted by Alpha):
Torque = Moment of Inertia × Alpha
3.85 N•m = 0.0960 kg•m^2 × Alpha

Alpha = 3.85 N•m / 0.0960 kg•m^2
Alpha = 3.85 kg•m^2/s^2 / 0.0960 kg•m^2
Alpha = 3.85 (1/s^2) / 0.0960
Alpha = (3.85/0.0960) (rad/s^2)
Alpha = (3.85/0.0960) (rad/s^2)

Answer 4

Alpha = 40.104 rad/s^2

Answer 5

Thanks for your response!

Answer 6

Happy to help!