Exam 3: Kinematics and Kinetics of Angular Motion

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Angular momentum is:

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D

Which would have a higher moment of inertia value about the longitudinal (head to toe) axis of rotation: Arms out fully extended to the sides or one arm out to the side and one arm down by the side of the athlete?

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With both arms out to the sides would have a larger moment of inertia about the longitudinal axis in this example. Moving more mass away from the axis of rotation (longitudinal axis) will increase r and hence increase I (moment of inertia).

Angular Velocity is defined as Angular Acceleration divided by Time

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In a second class lever system there is a mechanical advantage in favour of:

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Anticlockwise rotation is the same direction as the movements of the hands of a clock

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Moments are measured in Newtons

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A tangent is defined as a line that touches a curve at a point and the line will have the same gradient (slope of a line measured as its ratio of vertical to horizontal change) as that of the curve at that point.

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An athlete has 980 kg.m²/s of angular momentum before and after a dive, and at entry to the water they have 0.7 rads/s angular velocity, what is their moment of inertia upon entry into the water?

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Explain what is meant by the term Tangential linear velocity.

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An oar for rowing (fulcrum fixed on the side of the boat) is a good example of a first class lever.

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Anti-clockwise rotation is the same direction as the hands of a clock

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The relationship between linear acceleration and angular acceleration is given by:

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Give three examples of changing moment of inertia within sporting performance

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Angular velocity is measured in:

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Clockwise rotation is usually given a positive sign

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if you have 10 units of angular momentum when you start your movement, and in the absence of external torque, you will have 25 units of angular momentum when you stop your movement

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A shovel used to dig the garden is a good example of a third class lever.

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Explain what is meant by the term at a Tangent in this context of rotating bodies and linear velocity.

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Isaac Newton proposed three law's of motion

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If during the somersault (tucked) phase of the above question, the athlete had 34 rads/s angular velocity what would have happened to their moment of inertia? And finally what can you say about the two different moment of inertia values and why are they needed?

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