The length of minutes hand of a clock in 5 cm. Calculate its speed

The speed of the minute hand of a clock can be calculated using the formula for the circumference of a circle, which is 2πr, where r is the radius of the circle. In this case, the radius of the circle is the length of the minute hand, which is 5 cm.

Step 1: Calculate the circumference of the circle Circumference = 2πr = 2π(5 cm) = 10π cm

This is the distance the tip of the minute hand travels in one hour, because it takes one hour for the minute hand to make one full revolution around the clock.

Step 2: Convert this distance into speed Speed is defined as distance over time. In this case, the time is one hour.

Speed = Distance / Time = 10π cm / 1 hour = 10π cm/hour

However, speed is usually measured in cm/minute for problems involving clocks. There are 60 minutes in an hour, so we divide the speed by 60 to convert it to cm/minute.

Speed = 10π cm/hour ÷ 60 = π/6 cm/minute

So, the speed of the minute hand is π/6 cm/minute.