All Problems

Kinematics

Problem 1.37

A point moves along a circle with a velocity \(v=a t,\) where \(a=0.50 \mathrm{~m} / \mathrm{s}^{2} .\) Find the total acceleration of the point at the moment when it covered the \(n\) -th \((n=0.10)\) fraction of the circle after the beginning of motion.

Reveal Answer
w=a1+(4πn)2=0.8 m/s2w=a \sqrt{1+(4 \pi n)^{2}}=0.8 \mathrm{~m} / \mathrm{s}^{2}