Final Answer:
The maximum speed of a point on the outside of the wheel, located 15 cm from the axle, can be determined using the formula
where \
is the linear velocity,
is the angular velocity, and
is the radial distance from the axle. Assuming a constant angular velocity, the maximum linear speed can be calculated as
Step-by-step explanation:
The linear velocity
of a point on a rotating object is given by the product of its angular velocity
and the radial distance
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
. To find the maximum speed
we use the maximum radial distance,

Angular velocity
is the rate at which the object rotates. If not provided, it can be determined using the formula
where
is the period of one complete revolution. However, if the angular velocity is given, it can be directly substituted into the formula. Once
is determined, it is multiplied by the maximum radial distance
to find the maximum linear speed
. Thus, the maximum speed of a point on the outside of the wheel, 15 cm from the axle, is
