T The automobile has a speed of 60 ft/s at point A and an acceleration having a magnitude of a = 10 ft/s², acting in the direction shown. (Figure 1) Figure 1 of 1 10 = 30°
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- A particle, originally at rest and located at point (3 ft, 2 ft, 5 ft), is subjected to an acceleration a={6ti+12t2k}ft/s2 .A particle is projected from a horizontal plane and has an initial speed of 50m/s at an angle of 30 degrees above the horizontal. For how long is the particle at least 20 m above the level of the plane? Hint: You may use the formulas for the horizontal x(t) and vertical y(t) displacement of the particle: x(t) = ucos(α)t, y(t) - usin(α)t - ½gt2 , g = 10m/sec2.Using the dot product, find the components of the velocity vector v = 20i+30° 60°12j km/h in the directions of the x and y-axes
- The jet plane in (Figure 1) is traveling at a constant speed of 1000 ft/s along the curve y = 40(10-6)? + 5000, where a and y are in feet. The pilot has a weight of 180 lb.A particle moves in a circle with a diameter of 120 cm. If its linear velocity is given by v = 4.5t where v is in mps and t is in s, find the radial, tangential and the resultant acceleration of the particle.A nozzle is formed so that its cross sectional area converges linearly along its length. the inside diameters are 200mm and 100 mm at inlet and exit and the length of the nozzle is 1m.What is the convective acceleration at a section halfway along the length of the nozzle if the discharge is constant at 0.12 ?3/s.
- A fluid flows through pipe shown below of uniform diameter 15 cm. The velocity of the fluid particles on the streamline along the center line of the pipe defined by V = 3t m/sec . find the the normal acceleration and the streamline acceleration when t = 10 sec. 0.5 mThe Texas Motor Speedway is an oval racing track with curves of radius 229 m that are banked at an angle of 24.0°. The size of the track allows for race cars to achieve speeds in excess of 400 km/h. An unintended consequence of the banked curves and high speeds is that race car drivers experience excessive G forces, especially in the "vertical" direction (with respect to their body position), causing dizziness and loss of consciousness. (a) A daring driver, pushing his car to the limit, experiences 3.52g of centripetal acceleration during one banking maneuver. What is the speed of his car during the maneuver? (Give your answer in km/h.) (b) If the driver is seated so that during the banking maneuver his upper body is aligned with the direction normal to the banked curve, what is the magnitude of the component of the centripetal acceleration along the driver's upper body? (Give your answer in terms of g.)Find the Following: 1.Keq 2. Ceq 3. Natural angular velocity
- The equation of a wave in the international system SI, which propagates by a string is given by the expression: y(x,t)=0,08cos[2π(2x-4t)] Determine the velocity values at a point 2m from the source at the instant t=5s.An airplane heads due north with a velocity of 250 mi/hr. A west windis blowing with a velocity of 40 mi/hr. What is the velocity of the airplanerelative to the ground?The Gulf Stream off the east coast of the United States can flow at a rapid 3.6 m/s to the north. A ship in this current has a cruising speed of 10 m/s. The captain would like to reach land at a point due west from the current position. a. In what direction with respect to the water should the ship sail? b. At this heading, what is the ship’s speed with respect to land?