For the instant shown, the curved bar OC has a constant angular velocity of 2 rad / s. Determine the angular velocity and acceleration of bar AB. 2 rad/s 0.16 m A 30° 0.20 m
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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?Find the value of the following: A. The piston speed of an air compressor is 150m/min and has a volume displacement of 0.8m3/s. Determine the diameter(in) of compressor cylinder. Ans: 35.54 B. The piston speed of an air compressor is 150m/min and has a volume displacement of 0.5m3/s. Determine the diameter(in) of compressor cylinder. ANS. 280.9644Member AB is rotating at wAn = 8.4 rad/s. 200 mm 200 mm 200 mm 250 mm A Part A Determine the angular velocity of the member BPD measured clockwise. Express your answer using three significant figures. Enter positive value if the angular velocity is clockwise and negative value if the angular velocity is counterclockwise. You did not open hints for this part. ANSWER: гad/s WBPD = Part B Determine the I and y components of the velocity of point D. Express your answers using three significant figures separated by a comma. You did not open hints for this part. ANSWER: (Up)z. (Up)y = m/s Part C Determine the angular velocity of the member CD measured counterclockwise. Express your answer using three significant figures. Enter positive value if the angular velocity is counterclockwise and negative value if the angular velocity is clockwise. You did not open hints for this part ANSWER:
- A fan blade rotates with angular velocity given by w2(t) = y – Bt2 , where y = 6.95 rad/s and ß = 0.73 rad/s³ . a) Calculate the instantaneous angular acceleration a, in rad/s² at t = 2.88 s. Insert your answer correct up to at least a third decimal place. b) Calculate the average angular acceleration aav_, in rad/s^2 for the time interval t = 0 to t = 3 s. Insert your answer correct up to at least a third decimal place.A wheel with a radius of 80 cm rolls along a flat surface at 3m/s. if AB on the wheel's perimeter measures 90 degrees, what is the velocity at point A, when point B contacts the ground. 80 cm 3 m/s8. 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…
- 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 vand acceleration a of the clevis attachment at B. B 2.7 3.6' 370 Part 1 Correct Determine the indicated terms used in the velocity and acceleration formulas. B 2.7' 3.6' 37° Answers: r- 75.6 in. 37 in./sec 9 - 0.21 rad/s -3 in/sec? 0 - rad/s?Horizontal motion of the piston rod of the hydraulic cylinder controls the rotation of link OB about O. For the instant represented where VA=6.9 m/s constant and OB is horizontal. The angular velocity of AB is (rad/s) A VA 160 mm 180 mm B 120 mm 0 Select one: Oa. 100 Ob. 66 Oc. 9 Od. 113 Ое. 43 The angular velocity of BO is (rad/s) Select one: Oa. 15.41 Ob. 29.64 Ос. 23.12 Od. 48.01 O e. 39.12 The angular velocity of BO is (rad/s) Select one: O a. 23.12 Ob. 39.12 Oc. 29.64 Od. 48.01 Oe. 15.41 The speed of point B is (m/s) Select one: Оа. 9.32 Ob. 5.41 Oc. 3.56 Od. 8.25 Ое. 0.78This is the answer plz write clear hand written plzz The angular velocity vector AB 6 = w = w Ta ¯- 1.5₁² + 2ĵ+ k² (1.52 +2². (AB) +1²) 1/² -3.3421 +4.4561 +2.228 k had/s Similarly angular aceleration 2 AB 1731 11.11 - 14.81 - 7.42 k rad/5² = x Velocity of the point c. --> v₁ = W X BC X [-3.3421+4.456+2₁228k² ] × [1.5j] = -3.3421-5,013 K² = The aneleration of point C -7 2 x BC + = ас 3x (2²+ BC) centripetal Aangential = -11.2 ₁² - 24.21 +31.6 k m/s²
- The piston of the hydraulic cylinder gives pin A a constant velocity v = 2.1 ft/sec in the direction shown for an interval of its motion. For where r = OA. the instant when = 54%, determine , r, 0, and 6.1" ✓ Answers: r = r = 0 = ÿ = i -1.6989 i 1.9645 i 2.425 10.623 ft/sec ft/sec² rad/sec rad/sec²8. 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 raddetermine the magnitude of velocity at C if the angular velocity of bar BCD is 5.35rad/s CCW and velocity of D is 2.65m/s. Also, the angular velocity of bar DE is 12.5 rad/s. please give detailed solution when getting velocity using trigonometry