Question

The second hand on a clock is 8 \text{ cm}8 cm8, start text, space, c, m, end text long. What is the distance the tip of the second hand travels in 101010 minutes?

Answer 1

The second hand of a clock is 8 cm long what is the distance of the tip of the second hand travel in 10 minutes

Answer:

The distance travelled by tip of second hand in 10 minutes is 502.4 cm

Solution:

Length of second hand = 8 cm long

In one revolution it travels a circumference of  a circle of which radius is 8 cm

The circumference of circle = $2 \pi r$

$c = 2 \times \pi \times 8 = 16\pi$

We are aksed to find the distance of the tip of the second hand travel in 10 minutes

Second hand complete 1 revolution in 1 minute.

Therefore, in 10 minutes it revolves 10 revolution,

In 1 revolution tip of second covers = 16π

Hence distance travelled is given as:

$\rightarrow 16 \pi \times10 = 160 \pi$

We know that π is a constant equals to 3.14

$\rightarrow 160 \pi = 160 \times 3.14 = 502.4$

Thus the distance travelled by tip of second hand in 10 minutes is 502.4 cm