swer the fo A model of a helicopter rotor has four blades, each 3.4 m long from the central shaft to the blade tip. The model is rotated in a wind tunnel at a 550 rev/min. (a) what is the linear speed of the blade tip, in m/s? (b) What is the radial acceleration of the blade tip?
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- A runner runs around a circular track. He completes one lap at a time if t=497s at a constant speed of v=3.9m/s. What is the radius r in meters of the track?what was the runners centripetal acceleration ac in m/s^2 during the run?A small ball is attached to the lower end of a0.800-m-long string, and the other end of the stringis tied to a horizontal rod. The string makes aconstant angle of 67.9° with the vertical as the ballmoves at a constant speed in a horizontal circle.Part AIf it takes the ball 1.10 s to complete onerevolution, what is the magnitude of the radialacceleration of the ball?Express your answer with the appropriate units.Airplane makes a gradual 90 degrees turn while flying at a constant speed of 200 m/s. The process takes 20.0 seconds to complete. 1. for this turn, the magnitude of the radial acceleration of the plane is?
- Question 6: A particle is moving in a circular path of radius R. At some in- stant, its acceleration a makes angle 0 with the horizontal as shown in Figure 2. At that instant, what is the speed of the particle? Figure 2 Select one: VaR cos 0 VaRtan 0 VaRsin 0 aR cot 0 aRsin? 0A ball is thrown at an initial height of 50 feet at an initial velocity of 65 feet/second at an angle of 75 degrees. Given the parametric equations y - 16t2 + Vo Sin(0)t + ho and x = Vo. Cos(0)t. When doing calculations, carry 5 digits of accuracy, so your round off does not build up. a. What is the ball's height in 2 seconds? 111.57035 v o feet. b. When will the object hit the ground? 4.60298 v o seconds. c. How far horizontally will the ball be when it hits the ground? 77.43702 v o feet. d. When will the ball be at its maximum height? 1.96204 o seconds. e. What is the ball's maximum height? 4.61479 x feet. feet f. How far horizontally will the ball be when it reaches its maximum height? 77.63571 ×From a tower of height yo a particle is projected vertically up with a velocity vo in free space (gravity free). The acceleration of particle at an instant is given as ā = k (v ×Ā), where v is instantaneous velocity vector and A is given as A = (-k), where y is the H y vertical coordinate of particle at that instant. (Take origin as foot of the tower) Answer the following questions. D 14. The speed of particle as a function of time will be (A) vo + kt (C) Vo-y/t 15. (B) vo+ (y/t)-(1/2)at (D) Vo The maximum height attain by the particle will be (A) y = Yo(1+evo/Kc) (C) y = Yo (1-evo/kc) (B) y = Yo(1+e */v) (D) y Yo (1-e-c/vo) t Yo (0, 0)
- A runner runs around a circular track. He completes one lap at a time of t = 389 s at a constant speed of v = 4.4 m/s.t = 389 sv = 4.4 m/sWhat is the radius, r in meters, of the track? What was the runners centripetal acceleration, ac in m/s2, during the run?angle 0 given by the expression a tane 3. A particle is projected vertically upward from the surface of the rotating earth at colatitude (polar angle) 0. It rises to a height h(« R) and then falls back to the surface. Show that it 8 1/2 strikes the ground at distance o sino(2h/g)* to the west of the initial position. What 3 is its westward displacement at its maximum height?A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure below. The length of the arc ABC is 263 m, and the car completes the turn in 33.0 s. 35.0° В A (a) What is the acceleration when the car is at B located at an angle of 35.0°? Express your answer in terms of the unit vectors î and ĵ. m/s? î + m/s? j (b) Determine the car's average speed. m/s (c) Determine its average acceleration during the 33.0-s interval. m/s? ĵ m/s2 î +
- To anticipate the dip and the hump in the road, the driver of a car applies his brakes to produce a uniform deceleration. His speed is 100kph at the bottom A of the dip and 50 kph at the top Cof the hump. The length of the road from A to Cis 120m. The radius of curvature of the hump at C is 150m. The total acceleration at A is 3 m/s^2. Compute the radius of curvature at A. C 60 m В 60 m A A) 612.15m B) 502.39m c) 432.32m D 243.23m E) 549.81mA particle follows a path of which the radial A position is described by r = (0.2 + 0.15 cose) mon Calculate the magnitude of the particles i b9992 241 acceleration when 0 = 30° 0 = 0.7 rad /sec, 0 = 0.5 rad /sec² in misec².obolimpom gnt stolala) S998 Im ni mal = 2 bovom. and of AscAsb 21 109 2910tting to 7 nöti200 Nothon SNT ISHIN 904 #Am (5) 203.2 = 1₁ coups me o volipas ant 11 20 = 8 21 NGHI209 Volupro 9m Smit 972 67 8 = 21 gloiting gn4 40 prodlev 904 90 91V 4 103 2100092 ni ei f TO T im 8 0 Anten ONE to NOHAT 0921The rod OA rotates clockwise with a constant angular velocity of 6 rad/s. Two pin-connected slider blocks, located at B, move freely on OA and the curved rod whose shape is a limacon described by the Part A equation r = 200(2 – cos 0) mm. (Figure 1) Determine the speed of the slider blocks at the instant 0 = 120°. Express your answer to three significant figures and include the appropriate units. HA v = Value Units Submit Request Answer Figure A 6 rad/s 0. 400 mm 600 mm 200 mm