Question

How can you express centripetal force in terms of centripetal acceleration?

a) ( F_c = frac{m}{a_c} )

b) ( F_c = m times a_c )

c) ( F_c = frac{a_c}{m} )

d) ( F_c = m div a_c )

Answer 1

Centripetal force can be expressed in terms of centripetal acceleration using the equation Fc = mac. This equation relates the magnitude of the centripetal force (Fc) to the mass (m) and centripetal acceleration (ac). The centripetal acceleration can be calculated using different forms of equations. By substituting the expressions for centripetal acceleration into Fc = mac, the centripetal force can be expressed in terms of centripetal acceleration.

Step-by-step explanation:

The centripetal force can be expressed in terms of centripetal acceleration using the equation Fc = mac. This equation relates the magnitude of the centripetal force (Fc) to the mass (m) and centripetal acceleration (ac) of an object.

The centripetal acceleration can be calculated using two different forms of the equation:

ac = v²/r (where v is the tangential speed and r is the radius of curvature) and ac = rw² (where r is the radius of curvature and w is the angular speed).

By substituting the expressions for centripetal acceleration into the equation Fc = mac, you can express the centripetal force in terms of centripetal acceleration.