Define the radian in terms of angle measurement.
The minute hand of a clock turns at a steady angular speed about the clock face, making one complete turn each hour. A small piece of modelling clay is attached to the hand, with its centre of gravity at a distance $L$ from the fixed end of the hand, as shown in Fig. 1.1. Calculate the angular speed $\omega$ of the minute hand.
In a time interval of $1400\,\text{s}$, the centre of gravity of the piece of modelling clay in Fig. 1.1 travels a total distance of $0.44\,\text{m}$. Calculate the angle through which the minute hand moves during this interval.
Determine the value of $L$.
Calculate the size of the centripetal acceleration of the piece of modelling clay.
Use your answer in (c)(iii) to explain why the change with time in the magnitude of the force exerted by the minute hand on the piece of modelling clay is negligible while the minute hand completes one full revolution.