Question

The minute hands of a clock is 10 cm long. calculate the linear speed of the tip of minute hand.

Answer 1

We know,

Speed =$\frac{Distance}{Time}$

Here distance will be the circumference of the circle that second-hand makes in one complete revolution. Therefore, Distance = 2$\pi$r(circumference)

r (radius) = 10 cm (length of second hand)

Distance =$2\times 3.14\times 10cm$

Distance = 62.8 cm

Now, the time it takes to complete one full revolution by second hand = 60 seconds

Speed = $\frac{\left[62.8cm\right]}{60}$seconds

Speed = 1.0466 $\frac{cm}{second}$

Therefore, Speed of the tip of 10 cm long second hand of a clock is 1.0466$\frac{cm}{second}$