Round your final answers to three significant figures. Equipment to be used in a

Question

Round your final answers to three significant figures. Equipment to be used in airplanes or spacecraft is often subjected to a shake test to be sure it can withstand the vibrations that may be encountered during flight. A radio receiver of mass 5.23 kg is set on a platform that vibrates in sHM at 100 Hz and with a maximum acceleration of 93.0 m/s (a) Find the radio's maximum displacement. Use scientific notation. x 10 (select) m (b) Find the radio's maximum speed. m/s UN e maximum net force exerted on it.

Explanation / Answer

a)We know that,

a = (2 pi f)^2 A

A = a/(2 pi f)^2 = 93/4 x 3.14^2 x 100^2 = 2.36 x 10^-4 m

Hence, A = 2.36 x 10^-4 m

b) v(max) = 2 pi f A

v(max) = 2 x 3.14 x 100 x 2.36 x 10^-4 = 0.15 m/s

Hence, v(max) = 0.15 m/s

c)Max net force

F = ma = 5.23 x 93 = 486.39 N

Hence, F = 486.39 N

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