What is the angular velocity of a 6–foot pendulum that takes 3 seconds to complete an arc of 14.13 feet? use 3.14 for π.

Given:

radius of the pendulum = 6 feet
arc length = 14.13 feet
time = 3 seconds

Required:

What is the angular velocity?

Solution:

To compute for the angular velocity, we can use the formula:

w = s/rt

where,

w is the angular velocity
s is the length of the arc
r is the radius of a circle or pendulum
t is the time

substituting the values,

w = 14.13 feet / 6 feet × 3 seconds

w = 0.785 per seconds