Answered

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An object is moving in a circle of radius 2 m at a constant speed of 5 m/s. What is its acceleration?

Sagot :

ANSWER

a = 12.5 m/s²

EXPLANATION

Given:

• The radius of the circular path, r = 2 m

,

• The speed of the object, v = 5 m/s

Find:

• The centripetal acceleration of the object, a.

The centripetal acceleration of an object moving at a speed v in a circular path of radius r is,

[tex]a=\frac{v^2}{r}[/tex]

Replace the known values and solve,

[tex]a=\frac{5^2m^2/s^2}{2m}=\frac{25}{2}m/s^2=12.5m/s^2[/tex]

Hence, the acceleration of the object is 12.5 m/s².

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