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The equation for centripetal force can be derived by substituting the equation for centripetal acceleration into Newton’s second law.


Please select the best answer from the choices provided

T
F

Sagot :

Lanuel

Answer:

True.

Explanation:

Newton's Second Law of Motion states that the acceleration of a physical object is directly proportional to the net force acting on the physical object and inversely proportional to its mass.

Mathematically, it is given by the formula;

Force = mass * acceleration

[tex] F = ma[/tex]

Centripetal acceleration is given by the formula;

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

Where;

v is the velocity.

r is the radius.

The equation for centripetal force can be derived by substituting the equation for centripetal acceleration into Newton’s second law.

Let centripetal force be Fc

Fc = ma

Substituting the value of "a" into the above formula;

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

[tex] Fc = \frac {mv^{2}}{r} [/tex]

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