Determine the magnitude of Coriolis acceleration if N : 6 rad/sec. = 120 mm Select one: 2 a. 1.08 m/s 2 b. 3.00 m/s 2 c. 4.32 m/s 2 d. 0.48 m/s 120 mm D N E 45° A B
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- Consider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 6 in./sec, which is decreasing at the rate of 3 in./secevery second. Simultaneously, the cylinder is rotating about a horizontal axis through O at a constant rate of 12 deg/sec. Determine the velocity v and acceleration a of the clevis attachment at B. 2.7 B 3.6' PA 37° Part 1 Correct Determine the indicated terms used in the velocity and acceleration formulas. 2.7 B 3.6' 37° Answers: r- 75.6 in. 37 トー 6 in./sec 9 - 0.21 rad/s Fー -3 in./sec? 0 - rad/s?The slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 = 22°, 0 = 37 deg/s, and 0 = 23 deg/s?. Determine the magnited of the force Fapplied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.2-kg slider B. Neglect all friction, and let L = 0.50 m. The motion occurs in a vertical plane. В mThe speed of an object is given by v(t) = 5t^2 + 4t where v is in m/s and t is in econdss. What is the acceleration of the object at t = 2.00 s? O a. 5.00 m/s2 b. 9.00 m/s2 c. 10.0 m/s2 d. 14.0 m/s2 e. 20.0 m/s2
- Find the distance covered by object A in 10 seconds . Its initial velocity V1 = 15 m/s and its acceleration 2 m/s2 : You can use the formulae V2 - V1 = at V22 - V,² = 2 a s S = V, t + 0.5 a t2 :Choose the correct answer :Select one a. 250 m b. 30 m c. 1800 m d. 450 mQ 1. An object rotates with angular acceleration, a defined as a dw where w is the angular velocity dt do Given that when t = 0, w = wo show that w = wo + at Also the angular velocity w is defined as w dt 1 where v is the angular displacement. Given that when t = u, U = U, then show that e = wot + 1 dp -KịpY where k1 + 0 where y dz Y - 1 Q 2. The pressure P of the atmosphere at an altitude z is given by l di Y-1 is the specific heat constant and kį is a constant. Show that z = 1 KWORKSHEET: A racing car starts at rest at point A and increases its speed around the track at a constant rate of 6 ft/sec², traveling counterclockwise. Determine the position and the time at which the car's acceleration magnitude reaches 20 ft/sec². y ↑ 200 ft Used with permission from "Engineering Mechanics: Dynamics." McGill/King, 4th Ed, 2003
- 8. The constant angular acceleration of the rotating disk is 12 rad/s2. The angular velocity of the disk is 24 rad/s clockwise when t = 0. Determine the total angle turned by the disk between t = 0 and t = 4sec. ANS: 48 rad 9. The angular acceleration ?, rad/s^2 of a rotating disk is related to its angular velocity ?, rad/s by ? = 4 √?. When t = 0, the disk is at rest and the angular position coordinate of a line in the disk is θ = 8rad. Find the expression for θ(?). ANS: θ(?) = 0.1667 ?^1.5 + 8 10. The rotation of a wheel is defined by the relation, θ = 3t^3 – 5t^2 + 7t – 2 where θ is in radian and t in seconds. Find the angular acceleration when t = 3 seconds. ANS: 44 rad/s^2 12. The shaft of a motor turns at constant speed of 3000 rpm. It turns to how many radians in 40 seconds. ANS: 12566.37 rad 13. The motor driving a grindstone is switched off when the latter has a rotational speed of 240 rpm. After 10sec, the speed is 180 rpm. If the angular retardation remains constant, how…To estimate the maximum acceleration of an elevator, an engineer places a 54 N weight on a scale in the elevator. The maximum scale reading is 60 N when the elevator accelerates upward. What is the acceleration of the elevator? ANS. a=1.09 m/s^2If a car accelerates at the rate of a in t seconds and decelerated at the rate of 0.5a for 2t seconds before it stops, determine the distance it has travelled if it started from rest. Ans : 3/2 at^3 Can you draw the explaination of the question. Thank you
- 1. What is the value of the acceleration of the following types Туре Average acceleration (m/s2) 1 Hendalike, acceleration 2 Toxetalike break rate Porchelike acceleration 4 Jeeplike break rate Lexus like accelerationThe sphere with mass m = 25 kg rolls down the inclined plane of angle = 25° without slipping. Determine its angular acceleration (in rad/s²). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². 0.15 m Your Answer: G 0 Answer A3. In the given system, determine; a) the vertical velocity of the rack (VR). b) acceleration of point B if the angular acceleration of AB is 2 rad/s². 12 cm A 10 rad/s -6 cm- 10 cm -16 cm- -6 cm- 6 cm D 1₂.