Centripetal Force

Motion in a circle​

​Some text here about the topic of discussion.

​- Name of Author

"LEARNING OBJECTIVES"

define the radian and express angular displacement in radians

understand and use the concept of angular speed

recall and use ω = 2π/ T and v = rω

understand that a force of constant magnitude that is always perpendicular to the direction of motion causes centripetal acceleration

understand that centripetal acceleration causes circular motion with a constant angular speed

recall and use a = rω2 and a = v2 /r

recall and use F = mrω2 and F = mv2 /r

 

​Radians & Angular Displacement In circular motion

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it is more convenient to measure angular displacement in units of radians rather than units of degrees.

Multiple Choice

Convert the following angular displacement into degrees:

• 60 degrees

• 70 degrees

• 180 degrees

• 45 degrees

Multiple Choice

by how many degrees does the angular displacement of the hour hand of a clock change each hour?

• 60 degrees

• 30 degrees

• 90 degrees

• 120 degrees

Subject | Subject

Some text here about the topic of discussion

The angular speed (⍵) of a body in circular motion is defined as: The rate of change in angular displacement with respect to time Angular speed is a scalar quantity, and is measured in rad s-1

Multiple Choice

the angular speed of the second hand of the clock is 0.105 rad/s. if the length of the hand is 1.8 m. calculate the speed of the tip of the hand as it moves round.

• 0.3 m/s

• 0.19 m/s

• 0.28 m/s

• 0.33 m/s

Draw

a car travels around a 90 degrees bend i 15s. The radius of the bend is 50 m. Determine the angular speed of car and the speed of the car

​https://www.youtube.com/watch?v=5vtH1uBaoBY

Centripetal acceleration