Answer:
24.752 rad/s²
Explanation:
From the question,
The expression of force on the disk is given as,
F = ma............... Equation 1
Where F = force, m = mass of the disk, a = acceleration of the disk.
In circular motion, recall that
a = αr.............. Equation 2
Where α =angular acceleration, r = radius.
Substitute equation 2 into equation 1
F = m(αr)
F = mαr.................equation 3
make α the subject of the equation
α = F/mr............... Equation 4
Given: F = 0.59 N, m = 1 kg, r = 2.02 cm = 0.0202 m.
Substitute into equation 4
α = 0.59/(1×0.0202)
α = 24.752 rad/s²
