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24 April, 22:17

A bug walking on the circular rim of a flower

pot completes one lap around the planter in

9.798 s.

If the radius of the planter is 12.8 cm, how

fast was it traveling?

Answer in units of cm/s.

How fast in m/s?

Answer in units of m/s

+3
Answers (1)
  1. 24 April, 22:22
    0
    The circumference of any circle is (pi) x (2 x the radius).

    The circumference of the rim of the flower pot is (25.6 pi) cm.

    Speed of the bug = (distance covered) / (time to cover the distance)

    = (25.6 pi cm) / (9.798 sec)

    = 8.208 cm/sec. (rounded)

    To change units:

    (8.208 cm/sec) x (1 meter / 100 cm)

    = 0.082 meter/sec (rounded)

    The bug's centripetal acceleration is

    (speed in m/s) ² / (radius in m)

    = (0.082 m/s) ² / (0.128 m)

    = (0.006724 m²/s²) / (0.128 m)

    = 0.0525 m/s²
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