briana swings a ball on the end of a rope in a circle. the rope is 1.5 m long. the ball completes a full…

briana swings a ball on the end of a rope in a circle. the rope is 1.5 m long. the ball completes a full circle every 2.2 s. what is the tangential speed of the ball? 0.68 m/s 2.1 m/s 4.3 m/s 9.2 m/s

briana swings a ball on the end of a rope in a circle. the rope is 1.5 m long. the ball completes a full circle every 2.2 s. what is the tangential speed of the ball? 0.68 m/s 2.1 m/s 4.3 m/s 9.2 m/s

Answer

Explanation:

Step1: Calculate the circumference

The formula for the circumference of a circle is $C = 2\pi r$. Given $r = 1.5$ m, so $C=2\pi\times1.5=3\pi$ m.

Step2: Calculate the tangential speed

Tangential speed $v=\frac{d}{t}$, where $d$ is the distance traveled and $t$ is the time. Here, $d = C = 3\pi$ m and $t = 2.2$ s. So $v=\frac{3\pi}{2.2}\approx\frac{3\times3.14}{2.2}=\frac{9.42}{2.2}\approx4.3$ m/s.

Answer:

4.3 m/s