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3-2.Motion in Plane
medium
A particle moves in a circle of radius $5 \;cm$ with constant speed and time period $0.2 \pi\; sec$. The acceleration of the particle is .... $m/sec^2$
A$15$
B$36$
C$5$
D$25$
(AIPMT-2011)
Solution
Velocity, $v =\frac{2 \pi r }{ T }$
$v =\frac{2 \pi \times 5 \times 10^{-2}}{0.2 \pi}=0.5 m / s$
$a=\frac{v^{2}}{r}$
$a=\frac{0.5 \times 0.5}{5 \times 10^{-2}}=5 m / s ^{2}$
$v =\frac{2 \pi \times 5 \times 10^{-2}}{0.2 \pi}=0.5 m / s$
$a=\frac{v^{2}}{r}$
$a=\frac{0.5 \times 0.5}{5 \times 10^{-2}}=5 m / s ^{2}$
Standard 11
Physics
