A radar antenna is rotating and makes one revolution every 24 s, as measured on earth. However, instruments on a spaceship moving with respect to the earth at a speed v measure that the antenna makes one revolution every 44 s. What is the ratio v/c of the speed v to the speed c of light in a vacuum

0.838

Explanation:

The ratio v/c of the speed v to the speed c of light in a vacuum is shown below:

Given that

= time interval for one revolution

= time interval measured with speed v

based on the given information, the ratio v/c  of the speed v to the speed c of light in a vacuum is

Now squaring both the sides

Now remove the squaring root from both the sides and putting the values

= 0.838

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