A satellite circle the earth at a distance just slightly above the surface of th

Question

A satellite circle the earth at a distance just slightly above the surface of the earth. Find the time it takes to make one complete orbit. The radius of the earth is R = 6.4x10^6 m and the acceleration of gravity on its surface is g = 9.8 m/s^2. 2.54x10^3 s, 5.08 x 10^3 s, 10.16x10^3 s, 86.4x10^3 s A simple pendulum consisted a mass of M = 1.50 kg at the end of a string of length L = 2.40 How many oscillations will this pendulum make in a time of t = 20.0 minutes? 479, 449, 429, 386 A swimming pool has dimension 20.0 m long, 10.0 m wide and 4.00 m deep. it is fill water; whose density is rho = 1000 kg/m^3. Find the gauge pressure at the bottom of 49,000 Pa, 44, 100 Pa, 39, 200 Pa

Explanation / Answer

here,

14)

length of rod , l = 4 m

M= 1 kg

let the angular accelration be alpha

torque , t = I * alpha

5 = (M* L^2 /3) * alpha

5 = ( 1 * 4^2 /3) * alpha

alpha = 0.9375 rad/s^2

let the time taken be t

theta = w0 * t + 0.5 * alpha * t^2

2 * pi = 0 + 0.5 * 0.9375 * t^2

t = 3.17 s

the time taken is a) 3.17 s

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