Conceptual Questions:
1. A bicycle wheel is rotating normally along the road, at such a speed that the cyclist is moving at 10 m/s. The wheel has a radius of 0.3 m. Describe the horizontal component of velocity of a point on the tire as the bike moves. What force(s) is(are) responsible for the accelerations this point undergoes? What is the angular velocity of the wheel? Does it change with time?
2. You are driving a car, delivering some helium-filled balloons to your daughter's birthday party. You turn sharply to your right around a curve. Which side of the car do the balloons go toward (think hard!)?
Numerical Problems
1. Convert the angle p/3 radians to degrees.
ans: 60 deg.
2. Find the angular speed of the Earth about its axis in rad/s.
3. A particle moves in a circle 1.50 m in radius. Through what angle in radians does it rotate if it moves through an arc length of 2.50 m? What is this angle in degrees?
4. A centrifuge in a medical laboratory is rotating at an angular speed of 3600 rev/min. When switched off, it rotates 50.0 times before coming to rest. Find the constant angular deceleration of the centrifuge.
5. A disk 0.500 m in radius rotates at a constant rate of 200 revolutions per minute. Find the speed and acceleration of a small tack on its outer edge.
6. The driver of a car traveling at 30.0 m/s applies the brakes and undergoes a constant negative acceleration of 2.00 m/s2. How many revolutions does each tire make before the car comes to a stop, assuming that the car does not skid and that the tires have radii of 0.300 m?