The take-up reel of a cassette tape has a radius of 2.5 cm. Find the length of the tape that passes around the reel in 7.1 s when the reel r

Question

The take-up reel of a cassette tape has a radius of 2.5 cm. Find the length of the tape that passes around the reel in 7.1 s when the reel rotates at an average angular speed of 1.9 rad/s.

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Lệ Thu 2 months 2021-07-29T05:21:23+00:00 1 Answers 2 views 0

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    2021-07-29T05:22:55+00:00

    Answer:

    s = 0.337 m

    Explanation:

    First, we will find the angular displacement of the reel:

    \theta = \omega t

    where,

    θ = angular displacement = ?

    ω = angular speed = 1.9 rad/s

    t = time taken = 7.1 s

    Therefore,

    θ = (1.9\ rad/s)(7.1 s)

    θ = 13.5 rad

    Now, we will find out the length of tape:

    s = rθ

    where,

    s = length of tape = ?

    r = radius of reel = 2.5 cm = 0.025 m

    Therefore,

    s = (0.025 m)(13.5 rad)

    s = 0.337 m

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