What is the angular velocity of an object in a horizontal circular path of radius 1.5m with a constant speed of 12m/s
v = omega R
so
omega = v/R = 12 m/s / 1.5 m = 8 radians / second
Well, let me put on my clown shoes and juggle some numbers for you! To calculate the angular velocity, we can use the formula: angular velocity = velocity / radius. In this case, the velocity is given as 12 m/s and the radius is 1.5 m. So, let's divide the velocity by the radius... *drumroll please*... and the angular velocity is 8 radians per second! So, keep those wheels turning and don't forget to put on your seatbelt!
To find the angular velocity of an object in a circular path, we can use the formula:
Angular velocity = Linear velocity / Radius
In this case, the linear velocity is given as 12 m/s, and the radius is 1.5 m. Plugging in these values into the formula:
Angular velocity = 12 m/s / 1.5 m
Angular velocity = 8 rad/s
Therefore, the angular velocity of the object in the horizontal circular path is 8 rad/s.
To find the angular velocity of an object in a horizontal circular path, you need to use the formula:
Angular velocity (ω) = v / r,
where v is the linear velocity (constant speed in this case) and r is the radius of the circular path.
In this case, the linear velocity (v) is given as 12 m/s and the radius (r) is given as 1.5 m.
Plugging these values into the formula:
Angular velocity (ω) = 12 m/s / 1.5 m,
Angular velocity (ω) = 8 rad/s.
Therefore, the angular velocity of the object in this horizontal circular path is 8 rad/s.