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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

Respuesta :

bartdrinksmalk
The radius of the circular path is 1.5 m.

The circumference is then
[tex]1.5\ m*2\pi=3\pi\ m[/tex]

The ball moves 3π m every 2.2 s, so the speed is
[tex]\frac{3\pi\ m}{2.2\ s}\approx 4.3\ m/s[/tex]
Lanuel

Based on the calculations, the tangential speed of this ball is equal to 4.3 m/s.

How to calculate tangential speed?

First of all, we would determine the circumference of this circle by using this formula:

Circumference = 2πr

Where:

r is the radius of a circle.

Substituting the given parameters into the formula, we have;

Circumference = 2 × 3.14 × 1.5

Circumference = 9.42 meters.

Therefore, this ball moves a distance of 9.42 meters in every 2.2 seconds. Thus, the tangential speed is given by:

Tangential speed = 9.42/2.2

Tangential speed = 4.3 m/s.

Read more on circumference here: brainly.com/question/14478195

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