Answer to Question #324016 in Trigonometry for Dan

Question

A pulley with a radius of 14 inches uses bolt to drive a pulley with radius 28 inches. The 14 inches pulleys turned through the angle of 150° .What angle will the 28 inches pulley turns

Answer 1

S=rΘ

Where,

S= Arc covered by the angle

r= radius

Θ=Angle in radians

S=(14inches)x(150°x(π/180))

S=(14inches)x(5π/6)

S=70π/6

The Angle will be (70×3.142)= 219.94/6

36.66° answer