Question

A grandfather clock is constructed so that it has a simple pendulum that swings from one side to the other, a distance of 27.0 mm, in 1.00 s. What is the maximum speed of the pendulum bob?

Answer 1

17 cm/s

Step-by-step explanation:

Amplitude is the half of the distance between the two extreme points

So, amplitude, A = 27 / 2 = 13.5 mm

Timeperiod, T = 1/2 second = 0.5 second

Maximum speed, v = A x ω

Where, ω is the angular frequency

ω = 2π / T = 2 x 3.14 / 0.5 = 12.56 rad/s

v = 13.5 x 12.56 mm/s

v = 169.56 mm /s

v = 16.96 cm/s

v = 17 cm/s

Answer 2

0.027m/s

Step-by-step explanation:

The speed of a body is the distance travelled with respect to time taken.

Mathematically;

Speed = Distance/time

Distance = 27.0mm

Time = 1.00secs

Since 1000mm = 1m

27mm = (27/1000)m

27mm = 0.027m

Speed = 0.027/1.00

Speed of the pendulum = 0.027m/s