A wheel of radius 4 m is spinning with an angular velocity of 2 rad/s. What is the translational velocity of a point on the wheel's rim?
Well, I'm no speed demon, but I'll give it a spin. The formula for translational velocity is given by v = rω, where v is the translational velocity, r is the radius of the wheel, and ω is the angular velocity of the wheel. Plugging in the values, we have v = 4 m × 2 rad/s = 8 m/s. So, the translational velocity of a point on the wheel's rim is 8 m/s. That's one fast wheel! I hope it doesn't get any speeding tickets!
The translational velocity of a point on the wheel's rim can be found using the formula:
v = r * ω
where:
v is the translational velocity,
r is the radius of the wheel, and
ω is the angular velocity.
Given that the wheel's radius is 4 m and the angular velocity is 2 rad/s, we can substitute these values into the formula:
v = 4 m * 2 rad/s
v = 8 m/s
Therefore, the translational velocity of a point on the wheel's rim is 8 m/s.
To find the translational velocity of a point on the wheel's rim, we can use the formula:
v = r * ω
Where:
v = translational velocity
r = radius of the wheel
ω = angular velocity
In this case, the radius of the wheel is given as 4 m and the angular velocity is given as 2 rad/s.
Plugging in these values into the formula:
v = 4 m * 2 rad/s
Simplifying this expression:
v = 8 m/s
Therefore, the translational velocity of a point on the wheel's rim is 8 m/s.