Question

A stone is tied to one end of a spring 50 cm long is whirled in a horizontal circle with a constant speed. If the stone makes 10 revolutions in 20 s, what is the magnitude of acceleration of the stone

• A. 493 cm/sec²
• B. 720 cm/sec²
• C. 860 cm/sec²
• D. 990 cm/sec²

Answer 1

Answer: (A)

493 cm/sec²

Answer 2

Time period $= \frac{\text{Total time}}{\text{No. of revolution}} = \frac{20}{10} = 2sec$

$\therefore a_{c} = \frac{4\pi^{2}}{T^{2}}.r = \frac{4\pi^{2}}{(2)^{2}} \times (1/2) ⥂ ⥂ m/s^{2} = 4.93m/s^{2}$

$= 493cm/s^{2}$