Given data Mass-18 kg Velocity=3 m/s
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- A differential equation is d2ydt2=Ay2+Byt where y represents a distance and t is time. Determine the dimensions of constants A and B for which the equation will be dimensionally homogeneous.Plot the earths gravitational acceleration g(m/s2) against the height h (km) above the surface of the earth.A 45 grams (0.045 kg) golf ball of diameter equal to 43 mm fell into a 2m deep lake. Neglect inertia at the moment of impact. Assume viscosity of 1.12x10-3 Ns/m2 , water density of 1,000 kg/m3 and Cd=0.5. Sphere volume equals 4π r³ /3. 1. How long will it take from the moment it hits the surface until it gets to the bottom? 2. If one estimates the Cd with Cd=24/Re formula, the settling velocity would be unrealistically large. Why?
- For the spring mass system find the displacement as function of time and the velocity and acceleration at (3 sec) (Use w-47.25 Ib, k-20Ib/ft, x(0)-4ft, v(0)=10ft/sec)Please include explanation. A 6-MW offshore wind turbine has a capacity factor of 40%. It has a height of 120 m, and 107-m long blades. The angular acceleration is 1.388 rad/s2. Assume that the distance from the center of the turbine to the connection with the blade is negligible, and that the turbine starts from rest. At ? = 12 s, calculate the velocity and the acceleration for points (a) at half the length and (b) at the tip of the blade.Each piston of an engine makes a sharp sound every other revolution of the engine. How fast is a race car going if its eight-cylinder engine emits a sound of frequency 750 Hz, given that the engine makes 2000 revolutions per kilometer? At how many revolutions per minute is the engine rotating?
- Hi please help me answer this with drawing, thank you. Plot a displacement diagram for a body that is to rise and fall as follows; rise 1 in. in 4 seconds with uniform acceleration, rise 1 in. in 4 sec. with uniform retardation, rest 6 seconds, fall 1 ¼ in. in 6 sec with harmonic motion, rise ½ in. in 3 sec with uniform velocity, fall 1 ¼ in. at once, and rest 4 sec.. Plot displacement as ordinates full size and the time as abscissas to a scale of 1 in. = 4 sec.A flywheel weighs 325 kg with a diameter of 1.6 m. The flywheel rotates at 600 revolutions per minute (rpm). If the rotational speed increases to 830 rpm. Calculate the kinetic energy fluctuation between the two rotational speedsExplain why there is an “extra” term in the Bernoulli equation in a rotating reference frame.
- Find the Following: 1.Keq 2. Ceq 3. Natural angular velocityCompute for the accelaration. Show solutions Given: mass=50kg Time=20.41 seconds Vf=40m/sDynamics Question A ball with a mass of .5kg is attached to a 1m string. The string is attached to a post and is free to rotate. The string can be assumed to be weightless and not stretch. The ball is spun around the post in the horizontal plane (so gravity is perpendicular to the string and direction of motion) at a rate of 2π radians per second and that is slowing down by .2 rad/s^2. What is the total acceleration vector and the tension in the string?