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Section 2: Centripetal Force. Warm-up Video. http://www.cleanvideosearch.com/media/action/yt/watch?videoId=2Plc--ufONM. Force Review:. Define Force: 2) Define Acceleration: The acceleration is always in the direction of the ________ ________.
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Warm-up Video http://www.cleanvideosearch.com/media/action/yt/watch?videoId=2Plc--ufONM
Force Review: • Define Force: 2) Define Acceleration: The acceleration is always in the direction of the ________ ________.
Centripetal Force: Force required to keep an object in circular motion.
Centripetal Acceleration: Acceleration that is due to the rate of change in direction and acts in the direction of the centripetal force.
Centrifuge http://www.cleanvideosearch.com/media/action/yt/watch?videoId=TGHvFpNCrtQ
Centripetal Force Discovery: • What direction is the centripetal force in? • What happens to the force as the angular speed increases? • What happens to the force as the Radius increase? • What happens to the force if the tangential velocity stays the same and radius decreases?
Centripetal Force Properties: • Centripetal Force Direction: 2) If the Tangential Velocity increases the centripetal force will: 3) If the Angular Speed increases the centripetal force will: 4) If the radius decreases and the velocity stays constant the centripetal force will: Draw the force and acceleration on the ball:
Reflection: Which will have the greatest centripetal force?
Demo: Upside down water • For the water to stay in the bucket the _________ must be greater than_________.
Centripetal Force Equation: For Centripetal Force “Fc” Fc = m·ac where ac – centripetal Acceleration ac = Vt2/r
Sample Problem 1: An 8kg weight is spun at 3m/s at a radius of 1 meter before being thrown. Find the following. Centripetal Acceleration b) Centripetal Force
Sample Problem 2: Find the centripetal acceleration at the following locations:
Sample Problem 2 Advanced: Find the normal force on the road at the following two locations for the 100kg cart:
Warm-up: A 4.0 kg ball is attached to 0.7 meter string and spun at 2.0 meters/sec. What is: a)the centripetal acceleration b)the centripetal force
Warm up: A carnival ride has a radius of 5.2 meters and spins to keep people suspended on the side wall. If the average coefficient of friction between the people and the wall . 98, find the speed the ride must rotate to sustain suspension.
Warm-up Quiz (10pts): A 2000kg racecar rounds a curve 50 meters in radius at 25m/s. 1) Find the centripetal acceleration: 2) Find the centripetal force:
Quiz: Three guys are running at 4m/s around a track. • Who has the greatest tangential velocity? • Who has the greatest angular speed? • Who will pass through the greatest angle in 4 seconds?
Quiz 15pts: A 90kg biker round a 20 meter radius bend at 19 m/s. Find the following: • Draw the direction of both the centripetal acceleration and force. • Find his centripetal acceleration: • Find his centripetal force:
Centripetal Force, Velocity, and Driving • https://www.youtube.com/watch?v=Up2UvuRLdTE • https://www.youtube.com/watch?v=s5vsj-9JEcQ
Centripetal Force Lab: Tangential Velocity Vs Centripetal Force Objective: Students will investigate how centripetal force is affected by tangential velocity. Procedure: Students will complete.
Data:Mass of Washer:_________ Mass of Stopper:_________Radius:_______ Data range: Have the washer count range from 2 to 22 Radius: Use from 20 to 30 cm in radius. You decide. Angular speed: For best results use around 20 revolutions
Analysis: • Must show one sample calculation with correct units for a trial of data. • Use an entire sheet of graph paper and graph centripetal force vs. tangential velocity. • Place a best fit trend line on the graph. • Based on the trend line, explain why how centripetal force is affected by tangential velocity. What mathematical relationship does this model • Is it dangerous to double your velocity while traveling around a bend and why?
Teacher Notes 1) Do the first trial together