Respuesta :
Answer:
Explanation:
Answer:
158.82 rad/s
Explanation:
radius of tyre, r = 34 cm = 0.34 m
tangential speed, v = 54 m/s
Let the angular speed of the pebble is ω.
The relation between the tangential speed and the angular speed is
v = r x ω
where, r is the radius and ω be the angular speed.
54 = 0.34 x ω
ω = 158.82 rad/s
Thus, the angular speed of the pebble is 158.82 rad/s.
The rate of change of angular displacement is defined as angular speed. The angular speed of the tire will be 158.82 rad /sec.
What is the definition of Angular Speed?
The rate of change of angular displacement is defined as angular speed, and it is stated as follows:
ω = θ t
Where,
θ is the angle of rotation,
t is the time
ω is the angular velocity
The following data given in problem
tyre radius (r) = 34 cm = 0.34 m
tangential velocity (v) = 54 m/s
ω is the angular speed of the pebble
The relation between angular and linear velocity is
[tex]\rm {V = r\omega}[/tex]
[tex]\rm {\omega = \frac{V}{r} }[/tex]
[tex]\rm {\omega = \frac{54}{0.34 }[/tex]
[tex]\rm {\omega = 158.82\; rad/sec}[/tex]
Thus the angular speed of the tire will be 158.82 rad /sec
To learn more about the angular speed refer to the link;
https://brainly.com/question/9684874
