Question

The magnitude of centripetal force cannot be expressed as

(A) mrω²

(B) 4π²mr/T²

(C) mvω

(D) mv/ω

Answer 1

Correct option is (D) mv/ω

Answer 2

The correct option is (D).

We know that centripetal force F_c = \(\frac {mv^2}{r}\)

Option a) F_c = \(\frac {mv^2}{r}\)

∴ V = rw

F_c = \(\frac {m(r^2w^2)}{r}\)

F_c = mrw²

Option b) F_c = mrw²

∴ w = \(\frac {2\pi}{T}\)

F_c = mr(\(\frac {2\pi}{T}\))²

F_c = \(\frac {4\pi^2mr}{T^2}\)

Option c) F_c = \(\frac {mv^2}{r}\)

v = rw ∴ \(\frac {v}{r}\) = w

 F_c = mv (\(\frac {v}{r}\))

 F_c = mvw

Option d) is not expressed centripetal force