It takes 23 hours 56 minutes and 4 seconds for the earth to make one revolution (mean sidereal day). What is the angular speed o
f the earth? Assume the earth is spherical. Relative to someone on the rotation axis, what is the linear speed of an object on the surface if the radius vector from the center of the earth to the object makes an angle of 48.0� with the axis of rotation. The radius of the earth is 6.37�103 km. What is the acceleration of the object on the surface of the earth in the previous problem? 2. A bicycle is moving at a speed v = 3.80 m/s. If the radius of the front wheel is 0.450 m, how long does it take for that wheel to make a complete revolution? 3. A tire placed on a balancing machine in a service station starts from rest and turns through 19.0 revolutions in 9.53 s before reaching its final angular speed. Calculate its angular acceleration.
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Answer:
k = 104.46 N/m
Explanation:
Here we can use energy conservation
so we will have
initial gravitational potential energy = final total spring potential energy
as we know that she falls a total distance of 31 m
while the unstretched length of the string is 12 m
so the extension in the string is given as
so we have