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 $800 \mathrm{m}$.

Copy the diagram. On your copy, draw and label the forces acting on the aeroplane.

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.

This diagram shows a rubber bung, of mass $200 \mathrm{g}$, on the end of a length of string being swung in a horizontal circle of radius $40 \mathrm{cm}$. The string makes an angle of $56°$with the vertical.

Calculate the tension in the string.

This diagram shows a rubber bung, of mass $200 \mathrm{g}$, on the end of a length of string being swung in a horizontal circle of radius $40 \mathrm{cm}$. The string makes an angle of $56°$with the vertical.

Calculate the angular speed of the bung

This diagram shows a rubber bung, of mass $200 \mathrm{g}$, on the end of a length of string being swung in a horizontal circle of radius $40 \mathrm{cm}$. The string makes an angle of $56°$with the vertical.

Calculate the time it takes to make one complete revolution

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?