NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. The sprocket wheel and chain shown are being operated at a speed of 600 rpm counterclockwise. When the pow turned off, it is observed that the wheel and chain comes to rest in 4 s.
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- For my exam reviewer: (DYNAMICS) A flywheel has its angular speed increased uniformly from 18 rad/s to 75 rad/s in 80 s. If the diameter of the wheel is 3.5 ft, determine the magnitudes of the normal and tangential components of acceleration of a point on the rim of the wheel when t = 80s, the magnitude of the acceleration, and the total distance the point travels during the time period. Find: a.) tangential acceleration (in rad/s^2) b.) normal acceleration (in rad/s^2) c.) acceleration (in rad/s^2) *Do show full solution. Thank you so much.The elliptical exercise machine shown below has fixed axes of rotation at points A and E. Knowing that at the instant shown the flywheel AB has a constant angular velocity of 6 rad/s clockwise, determine the acceleration of point D. Solve this problem, then assuming the ease of starting the elliptical moving is proportional to the angular velocity (app) and using only the equations below plus geometry, how would you redesign the machine to minimize the effort needed to start the elliptical moving. Be sure to resolve the problem based on your redesign to show that the effort would be lowered and estimate the percent change in effort. aв = a +ax TB/A - W²TB/A VB = VA+WXTB/A 0.2 m 1.2 m 0.09 m 0.12 m 0.6 m 0.8 mTo be able to develop an equation relating the linear distance between moving bodies to the angular position and velocity of the first or driving body and to use this relationship to derive the function for absolute velocity and acceleration of the second body. A circular cam is in contact with a rectangular lifter and used to intermittently operate a piece of equipment at the end of a lifter arm. The lifter is in contact with the highest point of the cam at the instant shown and the lifter is constrained to move only in the vertical direction. The cam has a radius of r = 5.0 in and is rotating about point O, which is offset from the center by a distance c = 2.7 in. The cam’s angular position is measured from the positive x axis and is positive clockwise. The angular velocity and acceleration are positive clockwise. The lifter with respect to point O when the angle is θ = 25 ∘, the angular velocity is ω = 3.4 rad/s, and the angular acceleration is α = 3.0 rad/s2 . Find the range of…
- To be able to develop an equation relating the linear distance between moving bodies to the angular position and velocity of the first or driving body and to use this relationship to derive the function for absolute velocity and acceleration of the second body. A circular cam is in contact with a rectangular lifter and used to intermittently operate a piece of equipment at the end of a lifter arm. The lifter is in contact with the highest point of the cam at the instant shown and the lifter is constrained to move only in the vertical direction. The cam has a radius of r = 5.0 in and is rotating about point O, which is offset from the center by a distance c = 2.7 in. The cam’s angular position is measured from the positive x axis and is positive clockwise. The angular velocity and acceleration are positive clockwise. Find the linear velocity of the lifter with respect to point O when the cam has an angular position of θ = 25 ∘ and is rotating with an angular velocity of ω = 3.4 rad/s…The mechanism shown is used in a distribution center to push boxes along a platform. The input link is driven by an electric motor which, at the instant shown, has a speed of 25 rad./s and accelerates up to 500 rad./s2. If the input link is 250 mm long and forms a 40 degree angle with the horizontal, determine the instantaneous acceleration of the input link end at the position shown (Point A).Problem (1) A belt-driven pulley and attached disk are rotating with increasing angular velocity. If at a given instant, the speed of the belt is v = 1.5 m/s, and the total acceleration of point A is 100 m/s?, determine: (a) The angular acceleration a of the pulley and disk (b) The total acceleration of point B (c) The acceleration of point C on the belt. A 150 mm 200 mm
- a) A flywheel with a diameter of 356 mm accelerates uniformly from rest at a rate of 2.5 rad/s² for a period of 1.8 minute. It then continues at the maximum speed attained for a further period of 4.5 minutes, after which it decelerates uniformly to rest over a final period of 2.8 minutes. Calculate for the flywheel: (a) The maximum angular velocity attained in rad/s and also in rev/min. (b) The rate of deceleration during the final period of the motion. (c) The angle, given in radians, turned through by the flywheel during its period of acceleration.In the two-cylinder air compressor shown, the connecting rods BD and BE are each 190 mm long and crank AB rotates about the fixed point A with a constant angular velocity of 1560.0 rpm clockwise. Determine the acceleration of each piston when 0 = 0. (Round the final answers to one decimal place.) 90° 15° 50 mm The acceleration of point D when e = 0 is m/s? 45°. The acceleration of point E when 0 = 0 is m/s? 7 45°.The slider block has the motion shown. Suppose that r = 150 mm and h = 500 mm. a. Determine the angular velocity of the wheel at this instant measured counterclockwise. b. Determine the angular acceleration of the wheel at this instant measured counterclockwise.
- The mechanism below has a crank that revolves clockwise at point O at a speed of 2000 rpm. B 1.2 kg 200 mm 60 mm 30° 0 Using vector diagrams, determine: a. The linear velocity of the piston and the angular velocity of the link AB about A. b. The angular acceleration of the link AB about A and the inertial resistance produced by the piston. c. Using trigonometry, confirm your results for the velocity in parts (i), explain your reasons behind which method is preferable, and identify the error margin for your velocity answers.Advanced Applied Mathematics - Circular Motion 1. When an airplane touches down at 1 = 0, a stationary wheel is subjected to a constant angu- lar acceleration a = 110 rad/s until / = 1 s. (a) What is the wheel's angular velocity at t = 1 s? (b) At 1 = 0, the angle 0 = 0. Determine 9 in radians and in revolutions at / = 1 s. 2. A small box B of mass mkg is placed on a rough horizontal rotating disc. B is metres from the centre of rotation as shown in Fig. 1 below. The coefficient of friction between the disc and B is u. Find, in terms of u, r and g, the maximum speed v that can be given to B without it slipping. 3. One end of a light inextensible string of length L metres is attached to a fixed point C. A small brass hall RoTh Give mechanical system as shown. At the instant shown, bar AB has constant clockwise angular velocity 18 rad/s. Give L=216 mm. 1) Determine the magnitude of angular velocity of bar BDE and magnitude of angular velocity of bar CD, unit rad/s? 2) Determine the magnitude of angular acceleration of bar BDE, unit rad/s^2? 3) Determine the magnitude of acceleration of point E, unit mm/s*2? E 90 mm 90 mm В 90 mm A L L 1) Determine the magnitude of angular velocity of bar BDE and magnitude of angular velocity of bar CD, unit rad/s? The magnitude of angular velocity of bar BDE = | rad/s The magnitude of angular velocity of bar CD =| rad/s 2) Determine the magnitude of angular acceleration of bar BDE, unit rad/s*2? The magnitude of normal acceleration of point D with respect to point B = mm/s*2 The magnitude of angular acceleration of bar BDE =| rad/s*2 3) Determine the magnitude of acceleration of point E, unit mm/s*2? The magnitude of acceleration of point E = mm/s*2