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Explore the fundamentals of rotational motion through an investigation of torque, angular velocity, and acceleration. This activity involves using weights to rotate the drive axle of mousetrap cars, allowing students to analyze the relationship between angular quantities and linear motion. By calculating the Moment of Inertia, participants will discover how an axle's dimensions and mass affect its rotational dynamics. Engaging questions prompt critical thinking about the influence of wheel size and axle assembly on moment of inertia, deepening understanding of physics principles.
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Torqued An investigation of rotational motion
Think Linearly • Linear motion: we interpret • position as a point on a number line • velocity as the rate at which position increases • acceleration as the rate at which velocity increases http://education.yahoo.com/homework_help/math_help/problem?id=minialg1gt_11_1_1_15_100
Angular Quantities • Rotational motion: based on the radius of the rotating object and the number of revolutions it passes through, we can relate • position angle • angular velocity velocity • Angular acceleration acceleration • For a disk of radius r: r Name this formula! #angles in one revolution # revolutions Linear distance
Torque • Torque, T, occurs when forces do not occur at an object’s center of mass (balance point). • T=F*d, where F is a force and d is distance from center of mass • Torque-angular acceleration: T=I*α • Compare to Newton’s 2nd law: F=m*a • Torque is defined by the direction the load may rotate an object: • CCW is (+) • CW is (-) How do you think these disks will rotate?
Activity Purpose • We will use weights to rotate the drive axle of our mousetrap cars. • We can record the acceleration of the falling weight and compare this to the torque provided by the weight in order to calculate the Moment of Inertia of the axle.
Hypothesis **Think about these questions** Which type of axle will have a larger moment of inertia -- one with large wheels or one with small wheels? Do you think the mass of the axle assembly (axle + wheels) affects the moment of inertia more or less than its size?