A truck with 34-in.-diameter wheels is traveling at 55 mi/h. Find the angular speed of the wheels in rad/min, *hint convert mile
1 answer:
Answer:
w =3416 rad/min
Explanation:
The angular speed of the wheels in radians can be defined as follows:
where
w = angular speed
r = radius of the wheel
s =distance traveled per minute
in this case we have
r = 34/2 inches = 17 inches
s = (55 mi/hr) (5280 ft/mi) (12 in/ft) (1hr/60min) = 58,080 inches/min
Therefore, w = 58,080/ 17 = 3416 rad/min
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The maximum speed of Tim is 16.95 m/s.
The given parameters:
- Mass of the rope, m = 71 kg
- Tension on the rope, T = 220 N
- Coefficient of kinetic friction, = 0.1
- Time of motion, t = 8 s
- Newton's second law of motion states that, the force applied to an object is directly proportional to the product of mass and acceleration of the object.
The net force on Tim is calculated by applying Newton's second law of motion as follows;
Thus, the maximum speed of Tim is 16.95 m/s.
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