Question

The difference between angular speed of minute hand and second hand of a clock is

• A. $\frac{59\pi }{900}rad/s^{-1}$
• B. $\frac{59\pi }{1800}rad/s^{-1}$
• C. $\frac{59\pi }{2400}rad/s^1$
• D. $\frac{59\pi }{3600}rad/s^{-1}$

Answer 1

The correct option is B $\frac{59\pi }{1800}rad/s^{-1}$

$\omega =\frac{d\theta }{dt};$

${\omega }_1=\frac{2\Pi }{60\times 60}$ for minutes hand;

${\omega }_2=\frac{2\Pi }{60}$ for seconds hand;

${\omega }_1-{\omega }_2=\frac{2\pi }{60}\times [1-\frac{1}{60}]=\frac{59\pi }{1800}rad/s$