An ant moves along a long rod with constant speed u relative to the rod, starting at the origin. The rod initially lies along +x and rotates anticlockwise with constant angular velocity ω from t=0. Then:
Select all that apply

Question

An ant moves along a long rod with constant speed u relative to the rod, starting at the origin. The rod initially lies along +x and rotates anticlockwise with constant angular velocity ω from t=0. Then:

Select all that apply

G1 Physics · Accepted Answer

The ant's position is r⃗=ut eᵣ=ut[cosωt î+sinωt ĵ]. Its velocity has radial component u and transverse component ωut, giving speed u√(1+ω²t²). Resolving acceleration along the instantaneous velocity gives tangential acceleration magnitude ω²tu/√(1+ω²t²). Hence A,B,C.