Respuesta :
Answer:
The angular speed and tangential speed are 58.69 rad/s and 7.92 m/s.
Explanation:
Given that,
Radius = 0.344 m
Speed v= 20.1 m/s
(I). We need to calculate the angular speed
Firstly we will calculate the time
Using formula of time
[tex]t = \dfrac{d}{v}[/tex]
[tex]t=\dfrac{2\pi\times r}{v}[/tex]
[tex]t =\dfrac{2\times3.14\times0.344}{20.1}[/tex]
[tex]t=0.107[/tex]
The angular velocity of the tire
[tex]\omega=\dfrac{2\pi}{t}[/tex]
[tex]\omega=\dfrac{2\times3.14}{0.107}[/tex]
[tex]\omega=58.69\ rad/s[/tex]
Now, using formula of angular velocity
(II). We need to calculate the tangential speed of a point located 0.135 m from the axle
The tangential speed
[tex]v = r\omega[/tex]
Where,
r = distance
[tex]\omega[/tex]= angular velocity
Put the value into the formula
[tex]v= 0.135\times58.69[/tex]
[tex]v=7.92\ m/s[/tex]
Hence, The angular speed and tangential speed are 58.69 rad/s and 7.92 m/s.
