Problems covered at the end:
1. We all move in a circle because we participate in the Earth's rotation. Calculate the speed of the Earth's rotation around its poles:
a) a person standing at a pole;
b) a person standing at the equator.
Assume the Earth's radius is 6400 km and its rotation period is 24 hours.
2. The minute hand of a clock is twice as long as the hour hand. Which speed is greater: the tip of the minute hand or the tip of the hour hand? How many times?
3. Cornel, weighing 60 kg, sits on a chair on a spinning carousel. The period of rotation is 5 s. Cornel's distance from the axis of rotation is 4 m. Calculate Cornel's centripetal acceleration and the centripetal force acting on him.
4. A car is entering a curve with a radius of 30 m. Assume that the friction force is a maximum of 40% of the car's weight, and determine the maximum speed the car can achieve on this curve. Draw the path a car would follow if it entered a curve too fast.