Question

An insect trapped in a circular groove of radius $12cm$ moves along the groove steadily and completes $7$ revolutions in $100s$. The linear speed of the insect is:

• A. $4.3cm{s}^{-1}$
• B. $5.3cm{s}^{-1}$
• C. $6.3cm{s}^{-1}$
• D. $7.3cm{s}^{-1}$

Answer 1

The correct option is B $5.3cm{s}^{-1}$

Frequency $f=\frac{7}{100}rps$

Angular velocity $\omega =2\times \pi \times f=0.4396=0.44rad{s}^{-1}$

Linear velocity=$\omega \times r=0.44\times 12=5.3cm{s}^{-1}$