Question

1. When a pendulum of length 50 cm oscillates, it produces an arc of 16 cm. The angle so formed in degree measure is (approx) (1) 18°25' (2) 18°35' (3) 18°20' (4) 18°08

11th - 12th Class

Maths

Solution

193

4.0 (1 ratings)

1. (3) ( s=16 mathrm{cm} ) ( r=50 mathrm{cm} ) ( therefore theta=frac{s}{r}=frac{16}{50}=frac{8}{25} ) radian ( =frac{8}{25} times frac{180^{circ}}{pi} ) ( =frac{8}{25} times frac{180}{22} times 7=frac{1008}{55} ) ( =18 frac{18}{55} ) ( =18^{circ}left(frac{18}{55} times 60^{prime}right) approx 18^{circ} 20^{prime} )