Question

The length of minute hand of clock is 14 cm. Calculate the speed at which the tip of minute hand moves.

Answer 1

Answer:

The length of minute hand of clock is 14 cm. Calculate the speed at which the tip of minute hand moves.

Explanation:

Answere- 24

Answer 2

Given:

Length of minute hand of a clock is 14cm long.

To find:

Linear velocity (speed) at which the tip of the minute hand moves.

Calculation:

So, a minute hand covers 2π radians in 1 hour (or 60 minutes)

Linear speed of rotating body is given as a product of angular velocity and the distance from the axis.

$\therefore \: v = \omega \times r$

$= > \: v = \dfrac{d( \theta)}{dt} \times r$

$= > \: v = \dfrac{2\pi}{60 \times 60} \times 0.14$

$= > \: v = \dfrac{2\pi}{3600} \times 0.14$

$= > \: v = \dfrac{\pi}{1800} \times 0.14$

$= > \: v = \dfrac{\pi}{900} \times 0.07$

$= > \: v = 0.00024 \: m {s}^{ - 1}$

$= > \: v = 0.24 \: mm \:{s}^{ - 1}$

So, final answer is:

$\boxed{ \sf{ \red{ \large{\: v = 0.24 \: mm {s}^{ - 1} }}}}$