Awheel rotates without friction about a stationary horizontal axis at the center of the wheel. a constant tangential force equal to 80 n is applied to the rim of the wheel. the wheel has radius 0.12 m. starting from rest, the wheel has an angular velocity of 1.2 rad/s after 2 s. what is the rotational inertia of the wheel?

I = 16 kg*m²

Explanation:

Newton's second law for rotation

τ = I * α   Formula  (1)

where:

τ : It is the moment applied to the body.  (Nxm)

I :  it is the moment of inertia of the body with respect to the axis of rotation (kg*m²)

α : It is angular acceleration. (rad/s²)

Kinematics of the wheel

Equation of circular motion uniformly accelerated :  

ωf = ω₀+ α*t  Formula (2)

Where:  

α : Angular acceleration (rad/s²)  

ω₀ : Initial angular speed ( rad/s)  

ωf : Final angular speed ( rad

t : time interval (rad)

Data  

ω₀ = 0

ωf = 1.2 rad/s

t = 2 s

Angular acceleration of the wheel  

We replace data in the formula (2):  

ωf = ω₀+ α*t

1.2= 0+ α*(2)

α*(2) = 1.2

α = 1.2 / 2

α = 0.6 rad/s²

Magnitude of the net torque (τ )

τ = F *R

Where:

F  = tangential force (N)

R  = radio (m)

τ = 80 N *0.12 m

τ = 9.6 N *m

Rotational inertia of the wheel

We replace data in the formula (1):

τ = I * α

9.6 = I *(0.6 )

I = 9.6 / (0.6 )

I = 16 kg*m²

hail is a solid form of precipitation composed of large, layered ice particles called pellets that often have spherical shapes. this phenomenon occurs during thunderstorms in the could type known as cumulus

hope this you out ^w^

choosing tennis and golf balls is your inde choice.

their mass and volume are dep