Tommy runs around a track whose circumference is 400 meters. He runs a single lap in a time of 62 seconds. What is Tommy’s displacement

Question

Tommy runs around a track whose circumference is 400 meters. He runs a single lap in a time of 62 seconds. What is Tommy’s displacement

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Yến Oanh 2 months 2021-07-24T04:54:35+00:00 1 Answers 0 views 0

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    2021-07-24T04:55:53+00:00

    Answer:

    Angular Displacement 6.28 radians

    Explanation:

    for circular motion we are expected to solve for Angular Displacement it is measured in radian

    Measurement of Angular Displacement.

    we can measure it using the following relation

    ∅= s/r

    where

    s = the distance travelled by the body, and

    r = radius of the circle along which it is moving.

    given that

    circumference c,  s= 400 m

    r= ?

    we have to solve for the radius

    we know that circumference

    c= 2\pi r

    400= 2*3.142*r

    400= 6.282*r

    divide both sides by 6.284 we have

    400/6.284

    r= 63.63 m

    Angular  displcament

    ∅= 400/63.63

    ∅= 6.28 radians

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