We appreciate your visit to An astronaut is on a 150 m lifeline circling the spaceship at 1 revolution per minute The length of the line is changed until his. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The length of the lifeline at that time is 146.42 meters.The astronaut is circling the spaceship, so the circumference of the circle is equal to the length of the lifeline.
To find the length of the lifeline when the astronaut's speed reaches 73 m/s, we can use the formula for the circumference of a circle.
We can find the number of revolutions the astronaut completes in one minute by dividing the total length of the lifeline (150 m) by the circumference of the circle.
Since the speed is given in m/s,
we can divide the total length of the lifeline by the time it takes to complete one revolution (60 seconds).
This will give us the speed in m/s.
Then, we can use the formula for circumference to find the length of the lifeline when the speed is 73 m/s.
Plugging in the given values, we can solve for the length of the lifeline,
which is approximately 146.42 meters.
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