F(t) Force_Crate
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- The drag on an airplane wing in flight is known to be a function of the density of air (), the viscosity of air(), the free-stream velocity (U), a characteristic dimension of the wing (s), and the shear stress on the surface of the wing (s). Show that the dimensionless drag, sU2, can be expressed as a function of the Reynolds number, Us.Using the information in Problem 1.22, estimate the ambient air temperature that could cause frostbite on a calm day on the ski slopes. 1.22 In order to prevent frostbite to skiers on chair lifts, the weather report at most ski areas gives both an air temperature and the wind-chill temperature. The air temperature is measured with a thermometer that is not affected by the wind. However, the rate of heat loss from the skier increases with wind velocity, and the wind-chill temperature is the temperature that would result in the same rate of heat loss in still air as occurs at the measured air temperature with the existing wind. Suppose that the inner temperature of a 3-mm-thick layer of skin with a thermal conductivity of 0.35W/mKis35C and the air temperature is 20C. Under calm ambient conditions the heat transfer coefficient at the outer skin surface is about 20W/m2K (see Table 1.4), but in a 40-mph wind it increases to 75W/m2K. If frostbite occurs when the skin temperature drops to about 10C, do you advise the skier to wear a face mask? What is the skin temperature drop due to the wind?A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance measured along the beam; [x]=[L] y = displacement of the beam; [y]=[L] = circular frequency of vibration; []=[T1] = mass of the beam per unit length; []=[ML1] D = bending rigidity of beam; [D]=[FL2] Show that the equation is dimensionally homogeneous. Note that [F]=[MLT2] see Eq. (1.21:).
- Determine the blade length for a wind turbine that supplies an electrical power output of 1.95 MW and given the following parameters: Wind speed = 51 km/hr The gear, generator and electric efficiencies are 93%, 95% and 91% respectively. The power coefficient of the wind turbine is the maximum possible as given by the Lanchester-Betz limit. Assume the atmospheric air conditions are 1.01325 bar and 27 °CA piece of wood weighing 160 lb is pushed from the top of a plane slide which is 50 feet long and inclined 30° to the horizontal. Air resistance (in pounds) is numerically equal to the velocity (in feet per second), the coefficient of friction is 0.5, and the wood starts sliding with initial velocity 8 ft/sec. A) How fast is the wood moving 1.5 seconds after it starts sliding? B) How far has it slid 1.5 seconds after it starts sliding? C) How long will it take for the wood to reach the bottom of the slide?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?
- Refer to the Worksheet shown, set up to calculate the displacement of a spring. Hooke's law states that the force (F, in newtons) applied to a spring is equal to the stiffness of the spring (k, in newtons per meter) times the displacement {x, in meters): F= kx. ;Chapter 10, Problem 161CA, Refer to the Worksheet shown, set up to calculate the displacement of a spring. Hooke's law states Cell A3 contains a data validation list of springs. The stiffness (cell 83) and maximum displacement (cell C3) values are found using a VLOOKUP function linked to the table shown at the right side of the worksheet. These data are then used to determine the displacement of the spring at various mass values. A warning is issued if the displacement determined is greater than the maximum displacement for the spring. Use this information to determine the answers to the following questions. Write the expression, in Excel notation, that you would type into cell 86 to determine the displacement of the spring.…Please answer the following question A cigarettes dispenser requires a south African five-rand (R5) coin with a mass of 9.5 g to dispense one cigarette with a mass of 0.2 g. The design of such a cigarette dispenser is based on a helical spring, of negligible mass, which is found to extend 0.1 mm under a mass of 0.2 g. The spring can support a total mass of a coin. As the customer place money on the dispenser, the spring and coin system displace vertically through 4 mm and release. 1.1. Provide a schematic representation of the mass and spring system. 1.2. Calculate the frequency of natural vibration of the dispenser. 1.3. Determine the velocity of the coin when it is 2 mm below its resting position.66. Subject:- Mechanical Enginreering
- 5. (a) Describe a platinum resistance thermometer. How would you calibrate and use it formeasuring temperature of an object. Mention its advantages over a thermoelectricthermometer. (Please include all the necessary and clear diagrams). (b) Discuss the second law of thermodynamics, entropy, and the principle of increase ofentropy. Show that the entropy of a reversible process remains invariant and it gets increasedin an irreversible process. (Please include all the necessary and clear diagrams).account_circle Science PhysicsQ&A LibraryA child’s toy consists of a m = 31 g monkey suspended from a spring of negligible mass and spring constant k. When the toy monkey is first hung on the spring and the system reaches equilibrium, the spring has stretched a distance of x = 17.6 cm, as shown in the diagram. This toy is so adorable you pull the monkey down an additional d = 7.6 cm from equilibrium and release it from rest, and smile with delight as it bounces playfully up and down. 1. Calculate the speed of the monkey, ve, in meters per second, as it passes through equilibrium. 2. Derive an expression for the total mechanical energy of the system as the monkey reaches the top of the motion, Etop, in terms of m, x, d, k, the maximum height above the bottom of the motion, hmax, and the variables available in the palette. 3. Calculate the maximum displacement, h, in centimeters, above the equilibrium position, that the monkey reaches. A child’s toy consists of a…(a) A very important component of a system has a mean time between failures of 100 hr and a mean time to repair of 10 hr. Determine the inherent availability of the system. (b) If the equipment in Q7 (c i) above is required to meet an inherent availability requirement of 0.985 and a mean time between failures of 100 hr. Calculate the permissible mean time to repair and if the system as a mean of the time intervals between corrective maintenance actions of 900 hrs and the sum of the mean corrective maintenance time intervals including supply downtime and administrative down time of 10 hrs Determine the operational availability of the system