Question

A disk with radius of 0. 5 m is free to rotate around its center without friction. A string wrapped around the disk is pulled, as shown above, exerting a 2 n force tangent to the edge of the disk for 1 s. If the disk starts from rest, what is its angular speed after 1 s?.

Answer 1

For a disk with radius of 0. 5 m is free to rotate around its center without friction,  its angular speed after 1 s is mathematically given as

w=1/(0.5M π^2)

What is its angular speed after 1 s?

Generally, the equation for the Moment of inertia  is mathematically given as

I=0.5mx^2

Where

radius = 0. 5 m

Mass=M

Force on edge=F=2N

Time =t

Hence, Torque

T=0.5*2=1.0Nm

Where

T=Ia

w=W0+at

Hence

W=1/I

In conclusion,  angular speed after 1 s

I=0.5M π^2

w=1/(0.5M π^2)

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