Question

1. Assuming there are 365 days in a year, how many days are required for the Earth to undergo an angular displacement of 2.65 rad as it revolves around the Sun?

days

2. A wagon wheel consists of a 2.77-kg hoop of radius 0.625 meters and 12 0.207-kg spokes.

(a) What is the moment of inertia of the wagon wheel for rotation about an axis through its center and perpendicular to the wheel?

kg·m²

(b) If the wheel is rotating with an angular speed of 48.2 rpm, then what is its rotational kinetic energy?

J

Answer 1

here,

a)

the time period of earth revolutions around the Sun , T = 1 yr = 365 days

the angular velocity , w = 2 *pi /T

for theta = 2.65 rad

the time taken , t = theta /w

t = theta /2pi * T

t = 2.65 /2pi * 365 days

t = 154 days

the time taken is 154 days