Question

find the radius of the pulley if the rotation of 45.9 raises the weight of a height of 10.3 cm?

Answer 1

Answer on Question #18861 – Math – Geometry

The arc length of a sector is calculated by the following formulae:

$$L = r \theta \quad (\text{when } \theta \text{ is in radians})$$ $$L = r \theta \frac{\pi}{180} \quad (\text{when } \theta \text{ is in degrees}).$$

Apply the second formula and obtain

$$r = \frac{180L}{\pi\theta} = \frac{180 \times 10.3}{\pi \times 45.9} \approx \frac{180 \times 10.3}{3.1416 \times 45.9} \approx 12.86 \text{ (cm)}$$

Answer: 12.86 cm.

www.AssignmentExpert.com