Question

Hat is the maximum speed of a point on the outside of the wheel, 15 cm from the axle?

Answer 1

The maximum speed of a point on the outside of the wheel, located 15 cm from the axle, can be determined using the formula
`\(v = ω * r\),`where \
`(v\)`is the linear velocity,
`\(ω\)`is the angular velocity, and
`(v\)` is the radial distance from the axle. Assuming a constant angular velocity, the maximum linear speed can be calculated as
`\(v_(max) = ω * r_(max)\), where \(r_(max) = 0.15 m\).`

Step-by-step explanation:

The linear velocity
`(\(v\))` of a point on a rotating object is given by the product of its angular velocity
`(\(ω\))` and the radial distance
`(\(r\))` from the axis of rotation. In this case, the maximum speed occurs at the outer edge of the wheel, which is 15 cm or 0.15 meters from the axle. The formula for linear velocity is
`\(v = ω * r\)`. To find the maximum speed
`(\(v_(max)\)),` we use the maximum radial distance,
`\(r_(max) = 0.15 m\), resulting in \(v_(max) = ω * 0.15\).`

Angular velocity
`(\(ω\))`is the rate at which the object rotates. If not provided, it can be determined using the formula
`\(ω = (2π)/(T)\),`where
`\(T\)`is the period of one complete revolution. However, if the angular velocity is given, it can be directly substituted into the formula. Once
`\(ω\)`is determined, it is multiplied by the maximum radial distance
`(\(r_(max)\))` to find the maximum linear speed
`(\(v_(max)\))`. Thus, the maximum speed of a point on the outside of the wheel, 15 cm from the axle, is
`\(v_(max) = ω * 0.15 m\).`

Answer 2

The maximum speed of a point on the outside of the wheel can be calculated using the formula: v = R * ω.

Step-by-step explanation:

The maximum speed of a point on the outside of the wheel can be calculated using the formula:

v = R * ω

Where:

• v is the velocity
• R is the radius of the wheel
• ω is the angular velocity

In this case, the radius is given as 15 cm. To determine the maximum speed, you also need to know the angular velocity, which is not provided in the question. If you have that information, you can substitute it into the formula to find the maximum speed.