Q.A car takes a turn with a velocity of 50 m s−1 on a circular road of radius of curvature 10 m. Calculate the centrifugal force experienced by a person of mass 60 kg sitting inside the car.
Pseudo Force – The Trick That Makes Newton's Laws Work Everywhere
Imagine you're sitting in a bus that suddenly lurches forward. What happens? You feel thrown backward against the seat. From the ground outside, a friend sees you stay still while the seat pushes you forward. But inside the bus, it feels like a real force yanked you backward. That feeling is the pseudo force.
The core problem is simple: Newton's laws only work in inertial frames — frames that are either at rest or moving with constant velocity. A bus accelerating forward is a non-inertial frame. Inside it, Newton's first law seems to break: you see an object (your own body) accelerate backward with no visible push. To fix this, we invent a fictitious force — the pseudo force — so that inside the accelerating bus, Newton's laws once again hold.
The Precise Statement
Fpseudo=−maframe
Where:
m is the mass of the object you're analyzing
aframe is the acceleration of the non-inertial frame (measured from an inertial frame)
The minus sign means the pseudo force acts opposite to the frame's acceleration
So if the bus accelerates forward (aframe forward), the pseudo force on every object inside is backward — exactly what you feel.
How to Use It
When solving a problem from inside a non-inertial frame:
Identify the acceleration of the frame itself.
Add a pseudo force −maframe on every object you're analyzing.
Now treat the frame as if it were inertial — apply Newton's laws normally.
Watch out
The pseudo force is not real. It has no agent — no wall, no rope, no gravity. It vanishes the moment you step outside to an inertial frame. Never count it as a real force in a free-body diagram meant for an inertial observer.
Step 1. Centrifugal force (as felt inside the car, a rotating/non-inertial frame during the turn) has the same magnitude as the centripetal force formula: Fcf=rmv2. …
Same / Similar Concept — real previous-year questions on the same or a closely similar concept, not this exact question.
CBSE 2025Set ANNUAL1 markMCQ
Q.When milk is churned then cream is separated due to
(A) Gravitational force
(B) Frictional force
(C) Centripetal force
(D) Centrifugal force
›Reveal solutionSolution
Cream separates from milk because of centrifugal force acting in the rotating churn.
When milk is churned (spun) rapidly, every particle in it moves in a circle, which requires a centripetal (inward) force actually supplied by the walls of the container. Viewed from the rotating frame of the churn itself, each particle instead appears to experience an outward pseudo-force — the centrifugal force — whose magnitude depends on the particle's mass and density.
Q.When milk is churned, then cream is separated. It happens due to
(A) gravitational force
(B) frictional force
(C) centrifugal force
(D) cohesive force
›Reveal solutionSolution
Cream separates from milk in a churn due to centrifugal force acting in the rotating frame.
When milk is rapidly rotated in a centrifugal churn/separator, in the (non-inertial) rotating frame every particle experiences an outward pseudo-force called the centrifugal force, of magnitude mω2r. Because cream (fat globules) is less dense than the rest of the milk, it experiences a smaller net …
Q.An object of mass 10 kg is hanging from a spring scale which is attached to the roof of a lift. If the lift is in free fall, the reading in the spring scale is:
(a) 98 N
(b) zero
(c) 49 N
(d) 9.8 N
›Reveal solutionSolution
During free fall, both the lift and the hanging mass accelerate downward at g, so the spring tension (and hence the scale reading) is zero.
The spring scale reads the tension T in the spring, which by Newton's second law applied to the hanging mass (taking downward as positive) is:
mg - T = ma
where a is the downward acceleration of the mass (equal to the lift's acceleration, since the mass moves with the lift).
When the lift is in free fall, a = g (it falls under gravity alone, with no other force acting on the lift-mass system to oppose gravity). Substituting: