A wheel moves with an angular velocity of 16 radians per second. Find the speed of the wheel if its diameter is 28 inches.
Question
A wheel moves with an angular velocity of 16 radians per second. Find the speed of the wheel if its diameter is 28 inches.
Solution
To find the speed of the wheel, we can use the formula:
Speed = Angular velocity * Radius
First, we need to find the radius of the wheel. The diameter is given as 28 inches, so we can divide it by 2 to get the radius:
Radius = Diameter / 2 = 28 inches / 2 = 14 inches
Now, we can substitute the given angular velocity and radius into the formula to find the speed:
Speed = 16 radians/second * 14 inches = 224 inches/second
Therefore, the speed of the wheel is 224 inches per second.
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