Gaetan Boucher started from rest and skated around a circular ice track of radius 100m. He maintained a constant rate of increase of his speed and finished one complete lap in 30s. Calculate the magnitude of his total acceleration as he passed a point 1/4 of the distance around thet rack from the start.
THANK YOU.
2007-03-29 14:58:47 · 1 answers · asked by Thrish 1 in Science & Mathematics ➔ Physics
This is an angular motion question.
The constant increase in speed means a constant acceleration
using
w=w0+a*t
theta=w0+.5*a*t^2
w0=0
theta(30)=2*pi
Solving for t
a=2*2*pi/30^2)
At pi/2
t=sqrt(pi/a)
t=15 sec
w=a*t
w=0.21
The centripetal acceleration is
w^2/R
=0.00044
and the tangential
a/R
=0.00014
The magnitude is the resultant
=Sqrt(0.00044^2+0.00014^2)
=0.00046 m/s^2
j
2007-03-30 06:17:24 · answer #1 · answered by odu83 7 · 0⤊ 0⤋