Answer:
13.49 rad/s
Explanation:
Angular Velocity: This can be defined as the velocity of a body performing circular motion. The S.I unit of angular velocity is rad/s.
The expression for angular velocity is given as,
v = ωr.............. Equation 1
Where v = linear velocity, ω= angular velocity, r = radius.
make ω the subject of the equation
ω = v/r............. Equation 2
Also,
v = d/t ........................ Equation 3
Where d = distance, t = time.
Substitute equation 3 into equation 2
ω = d/(rt)................. Equation 4
Given: d = 17 km = 17000 m, r = 35 cm = 0.35 m, t = 1 hour = (1×60×60) s = 3600 s.
ω = 17000/(0.35×3600)
ω = 17000/1260
ω = 13.49 rad/s
Hence the angular velocity = 13.49 rad/s
