A grandfather clock is controlled by a swinging brass pendulum that is 1.4 m long at a temperature of 27°C. (a) What is the length of the pendulum rod when the temperature drops to 0.0°C? m (b) If a pendulum's period is given by T = 2(L/g), where L is its length, does the change in length of the rod cause the clock to run fast or slow?fastneitherslow. Created by Kelly C. science-mathematics-en - physics-en

A grandfather clock is controlled by a swinging brass pendulum that is 1.4 m long at a temperature of 27°C.?

May 2021 1 76 Report

A grandfather clock is controlled by a swinging brass pendulum that is 1.4 m long at a temperature of 27°C.?

A grandfather clock is controlled by a swinging brass pendulum that is 1.4 m long at a temperature of 27°C.

(a) What is the length of the pendulum rod when the temperature drops to 0.0°C?

(b) If a pendulum's period is given by T = 2(L/g), where L is its length, does the change in length of the rod cause the clock to run fast or slow?

fast

neither

slow

Linear expansion/contraction of brass = 18.9 x 10/1,000,000/°C

a.)..Length at 27°C = 1.4 m

At 0°C = 27°C drop.

18.9 x (10,/1,000,000) x 27 = 0.0005103 m

New length = 1.4 - 0.0005103 = 1.3995 m

b.)..As the change makes the pendulum shorter, the swing is shorter .. the clock runs faster.