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Vaughn College Physics II Ka Name Date 1) is there a centrifugal force on the ea

ID: 1656696 • Letter: V

Question

Vaughn College Physics II Ka Name Date 1) is there a centrifugal force on the earth ? if yes, why ? 2) on a roller coaster there is a vertical loop. at the top of this loop the radius a student, who weighs 165 lb, is riding this roller coaster. at the top of the loop roller coaster is is 50 feet. assume traveling at 20 mph what is the centrifugal force on the student at the top of this loop? 3) a car goes around a turn at 15 mph and the centrifugal force orn of the car around the turn doubles, does the centrifiugal force on the car is 1000 lb. the car double ? if the speed

Explanation / Answer

Centrifugal effect is caused by inertia: An object in motion keeps moving at the same speed in the same direction unless a force acts on it. Everything on the rotating Earth tries to keep moving in a straight line and fly off into Space. The force of gravity continuously changes this direction of motion, making objects move in circles around Earth's rotation axis. On the equator, everything moves to the east at 465 meters per second, or 1000 miles per hour.

Because every rotation creates a centrifugal force. Hence, Earth also has centrifugal force. To calculate a centrifugal force, we need equation:

Fcentrifugal = m × 2 x r

(m is the mass of the object on Earth in kg, is the angular velocity in rad/s (a complete revolution is 6.28 rad) and r is the distance of the rotation axis (here, the Earth's radius if the object is on the equator) in meters)

So, for the Earth and a 70 kg human on the equator, we have this:

Fcentrifugal = 70 × (7.292 × 10-5)2 x 6.378 × 106 = 2.37 N

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