Question

starting from rest the angular velocity of the wheels of a car becomes 100 radian per second after 20 seconds radius of the wheel is 0.6 metre​

Answer 1

$\huge \fbox \red{❥Answer}$

From kinematics laws for rotational motion:

ω=ω

0

+αt ..(1)

θ=θ

0

+ω

0

t+

2

1

αt

2

....(2)

ω

2

−ω

0

2

=2αθ.....(3) where,

ω is final angular velocity

ω

0

is initial angular velocity

θ is angular displacement

α is angular acceleration and t is time

From(1) , 20=0+α×10

α=2rad/s

2

From(3) , (20)

2

−0

2

=2×2×θ

400=4θ

θ=100rad