Mathematics: A ball is tied to a string and swung in a horizontal circle with a tangential speed of 2.5 m/s. The length of the string is 1.5m. Calculate the ball’s centripetal acceleration.

A ball is tied to a string and swung in a horizontal

jetblackcap

13.02.2022

$a_c=4.17\ m/s^2$

Step-by-step explanation:

Centripetal Acceleration

It's the acceleration of an object moving in a uniform circular motion that pushed the object toward the center.

Its magnitude can be calculated as follows:

$\displaystyle a_c=\frac{v^2}{r}$

Where:

v = tangential speed

r = radius of the circle

The ball is tied to a string describing a circular motion with a radius of r=1.5 m. The tangential speed is v=2.5 m/s, thus the acceleration is:

$\displaystyle a_c=\frac{2.5^2}{1.5}$

$\displaystyle a_c=\frac{6.25}{1.5}$

$\mathbf{a_c=4.17\ m/s^2}$

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Candi9697

12.03.2023

Consider the following case:

Suppose a student earns $113.75 for painting and he works 13 hours, find his hourly rate.

In the above problem, to find the hourly rate, we need to divide the decimal 113.75 by 13.

The answer is:

$\frac{113.75}{13}=8.75$

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