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For a particle in uniform circular motion the acceleration a at a point P(R,θ)on the circle of radius R is (here θ is measured from the x-axis)
For A Particle In Uniform Circular Motion The Acceleration ...
Options:
A .  −v2Rcosθ^i+v2Rsinθ^j
B .  −v2Rsinθ^i+v2Rcosθ^j
C .  −v2Rcosθ^i+v2Rsinθ^j
D .  v2R+v2R^j
Answer: Option C
:
C
r=Rcosθ^j
drdt=Rsinθdθdt^i+Rcosθdθdt^j
v=Rωsinθ^i+Rωcosθ^j
(asω=dθdtanddrdt=v)
dvdt=a=Rωcosθdθdt^i+Rω(sinθ)dθdt^j
dsdtdθrdt=rdθdt=rω
ωordθdtisconstant
v=Rω2cosθ^iRω2sinθ^j
Substituting ω=vR
a=v2Rcosθ^iv2Rsinθ^j

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