Question

question 8
how many inches will the weight in the figure rise if the pulley is rotated through an angle of 1.92 radians and has a radius of 1.3 inches?
8.2 inches
1.5 inches
2.5 inches
0.7 inches

Explanation:

Step1: Recall arc - length formula

The length of an arc $s$ of a circle is given by the formula $s = r\theta$, where $r$ is the radius of the circle and $\theta$ is the central angle in radians.

Step2: Substitute given values

We are given that $r = 1.3$ inches and $\theta=1.92$ radians. Substitute these values into the formula: $s=1.3\times1.92$.

Step3: Calculate the result

$1.3\times1.92 = 2.496\approx2.5$ inches.

Answer:

2.5 inches