A66 nm torque acts on a wheel with a moment of inertia of 175 kg m2. if the wheel starts from rest, how long will it take the wheel to make one revolution?

5.8 s

Explanation:

Newton's second law for rotational motions states that:

where

is the net torque

I is the moment of inertia

is the angular acceleration

Substituting data and re-arranging the equation, we find the angular acceleration:

Now we can use the SUVAT equation for rotational motions:

where

is the angle corresponding to one revolution

t is the time taken

Re-arranging the equation: