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A stone is dropped into a quiet pond and...

A stone is dropped into a quiet pond and waves move in circles outward from the place where it strikes, at a speed of 30 cm per second. At the instant when the radius of the wave ring is 50 mt, find the rate of increase in the area and in the circumference of the wave ring.

Text Solution

Verified by Experts

The correct Answer is:
`30 pi m//sec, 0.6pi sq. m//sec`
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Knowledge Check

  • A stone is dropped into a quiet pond and waves move in circles outward from the place where it strikes, at a speed of 30 cm per second. At the instant when the radius of the wave ring is 50 m, the rate of increases in the area of the wave ring is

    A
    `0.75pi` sq.cm/sec
    B
    30 sq.cm/sec
    C
    `30pi` sq.m/sec
    D
    `0.4pi` sq.cm/sec

  • A stone is dropped into a quiet pond and waves move in circles outward from the place where it strikes, at a speed of 30 cm per second. At the instant when the radius of the wave ring is 50 m, the rate of increases in the circumference of the wave ring is

    A
    `0.6pi` m/sec
    B
    `6pi` m/sec
    C
    `0.6pi` cm/sec
    D
    `6pi` cm/sec

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