Question

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a body of mass 10kg revolves in a circle of diameter 0.40 M making thousand Revolution per minute calculate its linear velocity and centripetal acceleration ​

Answer 1

Here, m=10 kg, r=0.20m, v=1000/60 s^-1

Angular speed,

$w = 2\pi \: v = 2\pi \times \frac{1000}{60} = \frac{100\pi}{3} rad ^{ - 1}$

Linear velocity,

$v = rw = 0.20 \times (\frac{100\pi}{3} ) = \frac{20\pi}{3} ms^{ - 1}$

Centripetal acceleration,

$a = rw ^{2} = 0.20 \times ( \frac{100\pi}{3} )^{2} = \frac{2000\pi^{2} }{9} ms^{ - 2}$

Answer 2

Answer:

Exsolvedplanation:

v = 10³/60( 0.40π ) = 21 m/s

a = v²/2r = 21²/0.8 = 26m/s²