Question #24504

A worker in an office 1350 m from The Big Ben sets his watch to 1 o clock when he hears the clock chime through an open window . An hour later at 2& clock he checks his watch using the chimes of the Big Ben heard from the radio and finds that his watch is 4 seconds slow. The watch is working correctly.

Explain why he had set his watch 4 seconds slow at 1 o'clock

Expert's answer

Question#24504

A worker in an office 1350 m from The Big Ben sets his watch to 1 clock when he hears the clock chime through an open window. An hour later a2 clock he checks his watch using the chimes of the Big Ben heard from the radio and finds that his watch is 4 seconds slow. The watch is working correctly.

Explain why he had set his watch 4 seconds slow at 1 o'clock

Answer:

Such as the speed of sound in air is near 330 m/s, the worker (at first case) has accepted a signal with delay.

The delay of sound is: t=Sv=1350330=4.1t = \frac{S}{v} = \frac{1350}{330} = 4.1 sec.

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