A car is travelling round a bend when it hits a patch of oil. The car slides off the road onto the grass verge. Explain, using your understanding of circular motion, why the car came off the road.

This diagram shows an aeroplane banking to make a horizontal tum. The aeroplane is travelling at a speed of $75 {\mathrm{ms}}^{-1}$ and the radius of the turning circle is $800 \mathrm{m}$.

Calculate the angle that the aeroplane makes with the horizontal.

Explain what is meant by the term angular speed.

Explain what is meant by a centripetal acceleration.

A teacher swings a bucket of water, of total mass $5.4kg$, round in a vertical circle of diameter $1.8m$. Calculate the minimum speed that the bucket must be swung at so that the water remains in the bucket at the top of the circle.

A teacher swings a bucket of water, of total mass $5.4kg$, round in a vertical circle of diameter $1.8m$. Assuming that the speed remains constant, what will be the force on the teacher's hand when the bucket is at the bottom of the circle?

In training, military pilots are given various tests. One test puts them in a seat on the end of a large arm that is then spun round at a high speed, as shown.

At top speed the pilot will experience a centripetal force equivalent to six times his own weight ($6mg$). Calculate the speed of the pilot in this test.

In training, military pilots are given various tests. One test puts them in a seat on the end of a large arm that is then spun round at a high speed, as shown.

At top speed the pilot will experience a centripetal force equivalent to six times his own weight ($6mg$). Calculate the number of revolutions of the pilot per minute.

In training, military pilots are given various tests. One test puts them in a seat on the end of a large arm that is then spun round at a high speed, as shown.

Suggest why it is necessary for pilots to be able to be able to withstand forces of this type.