Rotational Motion: Understanding Axis and Angular Displacement

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What is the fundamental difference between linear motion and rotational motion?

Linear motion involves movement along a straight path, while rotational motion involves movement around a fixed point or axis.

What is the angular displacement of an object that rotates from 30° to 90°?

60° or $\frac{\pi}{3}$ rad

An object rotates with an angular velocity of 2 rad/s. What is its angular acceleration if it increases its angular velocity to 4 rad/s in 2 seconds?

1 rad/s²

A point on the edge of a rotating wheel has a tangential speed of 10 m/s. If the radius of the wheel is 2 meters, what is its angular velocity?

<p>5 rad/s</p> Signup and view all the answers

What is the centripetal acceleration of an object moving in a circular path with a radius of 3 meters and an angular velocity of 2 rad/s?

<p>12 m/s²</p> Signup and view all the answers

What is the moment of inertia of a rod of length 1 meter and mass 2 kg, rotating about its center?

<p>$\frac{1}{3}$ kg m²</p> Signup and view all the answers

An object is rotating with an angular velocity of 3 rad/s. If its angular velocity decreases to 2 rad/s in 4 seconds, what is its average angular acceleration?

<p>-0.25 rad/s²</p> Signup and view all the answers

What is the angular displacement of an object that rotates from 0° to 360°?

<p>360° or 2$\pi$ rad</p> Signup and view all the answers

A wheel has a moment of inertia of 5 kg m². What is its resistance to changes in its rotational motion?

<p>High</p> Signup and view all the answers

What is the axis of rotation of a spinning top?

<p>The fixed point or line around which the top rotates</p> Signup and view all the answers

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