A toy train nicknamed "torpedo" moves in a circular trajectory of 2 m radius without possibility of changing its linear velocity. Knowing it takes 10 seconds for a full rotation, calculate:
a) Its angular and linear velocities.
b) The angle and the distance traveled in 2 minutes.
c) Its acceleration.
We have a uniform circular motion because the trajectory is a circumference and the speed does not change throughout the motion.
R = 4 m
T = 10 s
To calculate the angular velocity, we will use the following expression:
And the linear velocity is:
ω = 0.628 m
t = 2 min = 120 s
R = 2 m
φ0 = 0 rad (assume that the initial angle is 0 rad).
s0 = 0 m (assume that the initial distance traveled is 0 m).
To calculate the angle covered:
and the distance traveled:
Since we are dealing with a u.c.m. the values of the accelerations that we can calculate in this type of motion are: