Question

How many centimeters will the weight be suspended on a pulley rise if the pulley is 11.5cm in radius is rotated through an angle of 70⁰45’?

Answer 1

Answer on Question#37211 – Math – Trigonometry

How many centimeters will the weight be suspended on a pulley rise if the pulley is 11.5cm in radius is rotated through an angle of 70°45'?

**Solution:**

$\varphi = 70{}^{\circ}45'$ – angle of the rotation;

$R = 11.5\mathrm{cm}$ – radius of the pulley;

Formula for the suspension of the weight (circle-segment length):

$$h = 2 \pi R \cdot \frac {\varphi}{180{}^{\circ}} = 2 \pi \cdot 11.5\mathrm{cm} \cdot \frac {70{}^{\circ}45'}{180{}^{\circ}} = 28.4\mathrm{cm}$$

Answer: weight will be suspended by 28.4cm.