Answer to Question #273185 in Mechanics | Relativity for JINGJING

Question

A 100-kg man walks around a 500.0-m circular path in constant speed. Find:

 i. The radius of the circular path

 ii. The period of his motion if he completes 6 rounds in 30 minutes 

iii. The frequency of his motion

 iv. His speed

 v. The force that pulls him inward the path 

Answer 1

i)

$r=L/(2\pi)=500/(2\pi)=79.62$ m

ii)

$T=30/6=5$ min = $300$ s

iii)

$f=1/T=1/300$ Hz

iv)

$v=\omega r=2\pi fr=2\cdot 79.62\pi/300=1.67$ m/s

v)

$F=ma=mv^2/r=100\cdot 1.67^2/79.62=3.49$ N