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The angular velocity is 16 radians per second
<u>Solution:</u>
The angular velocity of point is given by formula:
Where,
w is the angular velocity in radians
v is the linear velocity
r is the radius
Given that diameter of wheel is 10 feet
Thus radius is 5 feet
A point on the rim of a wheel moves with a velocity of 80 feet per second
Linear velocity = v = 80 feet per second
Therefore, angular velocity is given as:
Thus angular velocity is 16 radians per second
The angle measured is 1.72 radians
<em><u>Solution:</u></em>
Given that radius is 9 units and arc length is 15.5 units
To find: angle, , in radians
<em><u>The length of arc when angle in radians is given as:</u></em>
Where, "r" is the radius and "s" is the arc length
is central angle measured in radians
Substituting r = 9 and s = 15.5 in above formula,
Thus the angle measured is 1.72 radians