A) 1 rev = 2π rad. Using this ratio, you can find the rad/s: 1160 rev/min x 2π rad/rev x 1 min/60 s = 121.5 rad/s
b) You can find linear speed from angular speed using this equation (note the radius is half the diameter given in the question): v = ωr = 121.5 rad/s x 1.175 m = 142.8 m/s
c) You can find centripetal acceleration using this equation: a = v^2/r = (142.8 m/s)^2 / 1.175 m = 17 355 m/s^2
Answer:
8.2 m/s
Explanation:
The horizontal component of the velocity is given by:
![v_x = v cos \theta](https://tex.z-dn.net/?f=v_x%20%3D%20v%20cos%20%5Ctheta)
where
v = 10 m/s is the magnitude of the velocity
is the angle at which the ball has been thrown, with respect to the horizontal
Substituting the values into the equation, we get
![v_x=(10 m/s)(cos 35^{\circ})=8.2 m/s](https://tex.z-dn.net/?f=v_x%3D%2810%20m%2Fs%29%28cos%2035%5E%7B%5Ccirc%7D%29%3D8.2%20m%2Fs)
Answer:
Vectors have both magnitude and direction
Explanation:
Vectors show how strong the force in because the bigger the arrow, the stronger the force. Also, it obviously shows direction because its an arrow.