Two particles of equal mass are revolving with the same linear speed on circular paths of radii r1r1 and r2r2. The ratio of the centripetal force acting on them will be ______.
Answers
Answer:
Ratio = r1: r2
Step-by-step explanation:
The centripetal force is depicted by -
F = mv²/R
sub. v =rw(omega)
F =mrw²
The angular velocity ( W) will be same as the time period is also same
F1 = m R1 W²
F2 = m R2W²
The angular velocity and mass are constant.
Thus,
F1/F2 = R1/R2.
Therefore, the ratio is R1 :R2.
Answer:
The ratio of the centripetal force acting on them will be r₂ : r₁
Step-by-step explanation:
Given data,
radius = r₁ and r₂
Given that mass and linear velocity are equal, let their mass and linear velocity be m and v
=> m and v of both the particles are equal
Centripetal force on particle 1,
F₁ = mv²/r₁
Centripetal force on particle 2,
F₂ = mv²/r₂
Hence the ratio of the centripetal force acting on them
= F₁ : F₂ = (mv²/r₁) : (mv²/r₂)
=> F₁ : F₂ = r₂ : r₁
Hence the ratio of the centripetal force acting on them will be r₂ : r₁