Question

A stone whirled at the end of the rope 30cm long, makes 10 complete resolution in 2 seconds Find :
a. The angular velocity in radians
b. The linear speed
c. the distance covered in five seconds​

Answer 1

Explanation:

a. Angular speed = angular distance / time

ω = Δθ / t

ω = (10 rev × 2π rad/rev) / (2 s)

ω = 31.4 rad/s

b. Linear speed = angular speed × radius

v = ωr

v = (31.4 rad/s) (0.3 m)

v = 9.42 m/s

c. Linear distance = linear speed × time

d = vt

d = (9.42 m/s) (5 s)

d = 47.1 m