Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

a) Calculate its angular speed in rad per sec. b) What is the linear speed at th

ID: 1626097 • Letter: A

Question

a) Calculate its angular speed in rad per sec. b) What is the linear speed at the rim of the wheel? Considering earth's rotation, what is the linear speed of a point on a) the equator, b) the arctic circle (latitude 66.5 degree N), c) at a latitude 45 degree N? Assume that earth is perfectly spherical and that there is 24 hours a day. Calculate the angular velocity and linear velocity of earth around the Sun. Assume that earth's orbit is perfectly circular. The Sun subtends an angle about 0.5 degree to us on the Earth and is about 150 million km away. What is the radius of the sun? A child rolls a ball on a level floor 5.5 m to another child. If the ball makes 15 revolutions, what is its diameter? A 70 cm diameter wheel accelerates uniformly (constantly) from 160 rpm to 300 rpm in 4 seconds. a) Determine its angular acceleration. b) Using the acceleration obtained in a), write down the equation for angular velocity and angle as a function of time. c) What are the angle and the angular velocity at 2 seconds? d) What are the corresponding tangental velocity and acceleration at the rim of the wheel?

Explanation / Answer

I one revolution distance travelled by ball = cirumference of ball = 2 *pi*R where r is radius of ball

So in 15 revolutions distance travelled = 15 *2*pi*R = 5.5m (given)

So diameter = 2R = 5.5m / 15*pi = 0.117 m = 11.7 cm