Kinesiology 2241A/B Lecture Notes - Lecture 19: Right-Hand Rule, Angular Acceleration, Gyration

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13 Oct 2018

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Just like linear speed and velocity, angular speed and velocity are not the same thing. Line of action runs along the axis of rotation. Angular velocity is the rate at which the angle changes with respect to time. Angular velocity is the vector (w) that pints along the axis of rotation according to the right- hand rule. The length of (w) is the angular speed. Linear velocity is the vector (v) that points along the tangent to the pathway (black line) and at a right angle to the radius (r) Angular velocity is related to the angle as follows: But have no info about what happens between theta1 and theta 2. Take theta1 and theta2 so close together that they"re infinitesimally close together, then lose no info. The linear and angular velocities are related to one another via the radius (r vector)

Related Questions

A bullet of mass m= 50 g and velocity v= 400 m/s is fired at auniform solid sphere of mass M = 1 kg and radius R = 1 m. Thesphere is initially at rest and is mounted on a fixed horizontalaxis that runs through the center of mass. The line of motion ofthe bullet is perpendicular to the axle and at a distance d = .50 mfrom the center of the sphere. The moment of inertia of the sphereabout a rotation axis through its center of mass is I_CM=2/5 MR².

(A) What is the angular momentum of the bullet about the axle ofthe sphere, before the bullet hits the sphere?

(B) What is the angular momentum of the sphere about its axlebefore being hit by the bullet?

(C) What is the anglular speed of the bullet-and-sphere systemafter the bullet strikes and adheres to the surface of thesphere?

This print-out should have 15 questions. Multiple-choice questions may continue on the next column or page - find all choices before answering. Two vectors A and B lie in the xy plane and are given by A = Ax i + Ay j B = Bx i + By j, where Ax = 3.58 m, Ay = 2.85 m, Bx = 7.09 m, By = -6.36 m. Find the magnitude of R = A + B. Answer in units of m Find the angle theta (between -180 degree and + 180 degree with counterclockwise positive) that the vector R makes from the positive x axis. Answer in units of degree When the Sun is directly overhead, a hawk dives toward the ground at a speed of 7.23 m/s. If the direction of his motion is at an angle of 39.8 below the horizontal, calculate the speed of his shadow along the ground. Answer in units of m/s Vector A has a magnitude of 10 and points in the positive x-direction, Vector B has a magnitude of 17 and makes an angle of 32 degree with the positive x-axis. What is the magnitude of A - B? An airplane starting from airport A (lies 342 km east, then 531 km at 62.2 degree west of north, and then 778 km north to arrive finally at airport B. The next day, another plane flies directly from A to B in a straight line. In what direction should the pilot trawl in this direct flight? Use counterclockwise its the positive angular direction from due east, between the limits of - 180 degree ami 180 degree . Assume there is no wind during these flights. Answer in units of degree How far will the pilot travel in this direct flight? Answer in units of km A projectile is fired straight upward at 126 m/s. How fast is it moving at the instant it reaches the top of its trajectory? Answer in units of m/s How fast is it moving at the instant it reaches the top of its trajectory if the projectile is fired upward at 12 degree from the horizontal? Answer in units of m/s At one instant the velocity of a particle is and a very short time later its velocity has changed to . Qualitatively, what was the direction of the particle's acceleration during the interval between the first and second instance?

Kinesiology 2241A/B Lecture Notes - Lecture 19: Right-Hand Rule, Angular Acceleration, Gyration

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