A sprinter can go from a state of resting to running at 7 m/s in just 3 seconds. What is the sprinter's average acceleration?
1 answer:
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Answer:
The centripetal force acting on the child is 39400.56 N.
Explanation:
Given:
Mass of the child is,
Radius of the barrel is,
Number of revolutions are,
Time taken for 10 revolutions is,
Therefore, the time period of the child is given as:
Now, angular velocity is related to time period as:
Now, centripetal force acting on the child is given as:
Therefore, the centripetal force acting on the child is 39400.56 N.
The tangential speed of an orbiting object is
Explanation:
The tangential speed of an orbiting object is defined as the ratio between the distance covered in one revolution and the period of revolution:
where
d is the distance covered during one period
T is the orbital period
However, the distance covered during one period is the circumference of the circle:
where
r is the radius of the circle
Substituting the 2nd equation into the 1st equation, we find:
So, this is the final expression for the tangential speed of an orbiting object.
Learn more about circular motion:
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