A mass hung on a string that is wrapped around an axle on a wheel produces a ten

Question

A mass hung on a string that is wrapped around an axle on a wheel produces a tension in the string of 3.65 N. The axle has a radius of 0.0850 m. The wheel has a mass of 4.000 kg and a radius of 0.245 m. (Enter your answers to at least three significant figures.)

(a) What is the magnitude of the torque (in N · m) produced by the tension on the axle? = 0.310 Correct: Your answer is correct. N · m

(b) The wheel has an acceleration of 0.545 m/s2. What is its moment of inertia (in kg · m2)?

I = _____________kg · m2

Explanation / Answer

Here is how to do part 1:

the magnitude of the torque =

=(3.65N)(0.085m)

= 0.310 N-m

And here is part 2:

(0.545m/s2)/(0.245m) =2.22 rad

I =(MR^2) =4 *0.245^2 =0.2401 kg · m2

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