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12345 [234]
3 years ago
12

(b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a c

onstant rate of 1 m/s, how fast is the area of the spill increasing when the radius is 26 m?

Physics
2 answers:
weeeeeb [17]3 years ago
8 0

Explanation:

Below is an attachment containing the solution.

Volgvan3 years ago
4 0

Answer:

163.4 or 52\pi m2/s

Explanation:

The rate of change of the radius is 1 m/s

\dfrac{dr}{dt}=1

The area of a circle is

A=\pi r^2

We differentiate this to get the rate of change of the area with the radius:

\dfrac{dA}{dr}=2\pi r

The rate of change of the area is

\dfrac{dA}{dt} = \dfrac{dA}{dr}\times\dfrac{dr}{dt}=2\pi r \times1 = 2\pi r

At r = 26 m,

\dfrac{dA}{dt}=2\pi \times26=52\pi=163.4

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A circular loop of wire of cross-sectional area 0.12 m2 consists of 200 turns, each carrying 0.50 A. It is placed in a magnetic
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