In which case of relative motion between two observers are Galilean transformations valid?
A) Combined rotational and translational motion of one observer relative to the other
B) Uniform rectilinear motion of one observer relative to the other
C) Rotational motion of one observer relative to the other at constant angular velocity
D) Non-uniform rectilinear motion of one observer relative to the other
E) Uniformly accelerated rectilinear motion of one observer relative to the other
IMAT 2026 · Question 49
Q49 - Kinematics and uniform motion
Pinned
The correct answer is B) Uniform rectilinear motion of one observer relative to the other.
Galilean transformations (x′ = x − vt, t′ = t) relate inertial frames: frames moving at constant velocity relative to each other. In those frames the laws of mechanics are the same.
A) Incorrect: Rotation involves acceleration, so the frame is not inertial.
B) Correct: Constant velocity in a straight line: two inertial frames.
C) Incorrect: Even at constant angular velocity, a rotating frame has centripetal acceleration, so it is not inertial.
D) Incorrect: Non-uniform motion means acceleration.
E) Incorrect: Uniformly accelerated motion is still accelerated, so the frame is not inertial.
Replies 0
No other replies yet.
Log in to reply.