College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Determine the dimension of angular speed w in terms of [L], [M], [T]
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- (a) What is the angular speed w about the polar axis of a point on Earth's surface at a latitude of 68° N? (Earth rotates about that axis.) (b) What is the linear speed v of the point? What are (c) w and (d) v for a point at the equator? (Note: Earth radius equals 6370 km and let one day be 24 hours) (a) Number Units (b) Number i Units (c) Number Units (d) Number i Unitsarrow_forward16-1. The angular velocity of the disk is defined by w = (52 + 2) rad/s, where i is in seconds. Determine the magnitudes of the velocity and acceleration of point A on the disk when t = 0.5 s. 0.8marrow_forwardForce F= (-8 N)i + (6 N)j acts on a particle with position vector r= (3 m)i + (4 m)j. What are (a) the torque on the particle about origin, in unit vector notation, and (b) the angle between the directions of r and F?arrow_forward
- The end point B of a boom is originally 5 m from fixed point A when the driver starts to retract the boom with a constant radial acceleration of r=- 1.0m/s2 and lower it with a constant angular acceleration 0=-0.5 rad/s2 At t= 2 s, determine (a) the velocity of point B, (b) the acceleration of point B,(c) the radius of curvature of the path.arrow_forwardStarting from rest, a disk rotates about its central axis withconstant angular acceleration. In 5.0 s, it rotates 25 rad. During thattime, what are the magnitudes of (a) the angular acceleration and(b) the average angular velocity? (c) What is the instantaneous angularvelocity of the disk at the end of the 5.0 s? (d) With the angularacceleration unchanged, through what additional angle will thedisk turn during the next 5.0 s?arrow_forwardthe slender bar of length l and mass m is pinned to verical shaft at O, the vertical shaft rotates with a cnstant angular velocity w0, please find the value of necessary for the bar to remain at a constant angular β relative to the vericalarrow_forward
- A projectile is shot directly away from Earth's surface. Neglect the rotation of the Earth. What multiple of Earth's radius RE gives the radial distance (from the Earth's center) the projectile reaches if (a) its initial speed is 0.566 of the escape speed from Earth and (b) its initial kinetic energy is 0.566 of the kinetic energy required to escape Earth? (Give your answers as unitless numbers.) (c) What is the least initial mechanical energy required at launch if the projectile is to escape Earth?arrow_forwardAnswer the question in full details, thank you very much, Answer on the correct significant figures:, and the final answer is not 307.12 rad/s^2 or 310 rad/s^2, or +140.8 rad/s^2, so please find the correct final answer: A uniform, solid 2.5 kg cylinder can rotate about an axis through its center at O. The forces applied are : F1 =45N, F2 =4.3N, F3 = 5.5N,and F4 = 4.8 N. Also, R1 = 10. cm and R3 = 4.2cm. Find the magnitude (in rad/s^2) and direction (+ denotes counterclockwise and — denotes clockwise) of theangular acceleration of the cylinder.arrow_forward*12-168. A particle travels along the portion of the "four- leaf rose" defined by the equation r= (5 cos 20) m. If the angular velocity of the radial coordinate line is 0=(31²) rad/s, where t is in seconds, determine the radial and transverse components of the particle's velocity and acceleration at the instant = 30°. When t=0,0=0. ① r = (5 cos 20) Prob. 12-168arrow_forward
- Suppose you exert a force of 170 N tangential to the outer edge of a 1.355-m radius 73-kg grindstone (which is a solid disk). What is the angular acceleration of the grindstone αf, in radians per square second, if there is an opposing frictional force of 21 N exerted 0.35 m from the axis?arrow_forwardI:16) The angle an airplane propeller makes with the horizontal as a function of time is given by theta = ( 130rad/s) t + (40.0 rad/s^2)t^2. Estimate the instantaneous veloctity at t=0.00 by calculating the average angular velocity from t= 0.00 to t= 0.020s a) 0.33 rad/s b)0.2 rad/s c)0.8 rad/s d) 1.21 rad/sarrow_forwardA star of radius R = 2.3 * 108m rotates with an angular speed v = 2.4 * 10-6rad>s. Ifthis star collapses to a radius of 20.0 km, find its final angular speed. (Treat the star as if itwere a uniform sphere, and assume that no mass is lost as the star collapses.)arrow_forward
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