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11 August, 18:35

Bonnie sits on the outer rim of a merry-go-round, and Jill sits midway between the center and the rim. The merrygo-round makes one complete revolution every 2 seconds. Jill's linear velocity is:

a. four times Bonnie's.

b. one-quarter of Bonnie's.

c. the same as Bonnie's.

d. twice Bonnie's.

e. half of Bonnie's.

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  1. 11 August, 18:44
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    e. half of Bonnie's.

    Explanation:

    Jill and Bonnie move in a circular path with the same angular speed of the merry-go-round.

    The tangential velocity of the body is calculated as follows:

    v = ω*R

    where:

    v is the tangential velocity or linear velocity (m / s)

    ω is the angular speed (rad/s)

    R is radius where the body is located from the center of the circular path

    Data

    1 rev = 2π rad

    ω = 1 rev/2s = 2π rad/2s = π rad/s

    R : radio of the merry-go-round

    Bonnie's linear velocity (vB)

    vB = ω*R = π*R (m/s)

    Jill's linear velocity (vJ)

    vJ = ω * (R / 2) = (1/2) (π*R) (m/s)
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