The time to next failure of a machine has an exponential distribution with X-0,025failure/hour.What is the probability that the number of failures of the machine in one day is equal to 0? (The machine works for 24 hours in a day) (Round your answer to two digits
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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?can you give the uncertainty for these numbers and the rules you follow to find them13.70mm16.40mm0.4965kg0.21m0.499.6kg0.15m0.4993kg0.095m0.4953kg0.057m0.492kg0.049m
- A high-impulse universal testing machine is being used to determine the Young's Modulus of a rectangular solid specimen (l = 20 cm, t = 1.5 cm, w = 2 cm). The machine produces 35,000 Ns that causes the impact force of compression resulted to a 1 mm deformation in the length of the specimen in 0.05 s. Determine the Young's modulus of the specimen expressed in MPa. Round off your answer to the nearest whole numberSHOW YOUR COMPLETE SOLUTION and Answers must be expressed in engineering notation (when the exponent of the base 10 multiplieris not a multiple of 3,) Example: 0.06N or 6.0x10-2 N must be expressed to 60x10-3 N or 60mIn an experiment designed to determine the value of a parameter n, the actual value that is determined during the experiment is ln n which is determined to be ln n = –1.17828±0.07023. What is the value of n? Make sure that you quote the answer to the correct number of significant figures.
- Calculate the answer, and present in scientific notation. (0.32)(14.50)(120)= (14.1)/(0.005)= (3.9)(6.05)(420)=MECHANICAL ENGINEERING UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS LEGIBLY. SHOW THE STEP-BY-STEP PROCESS WITH SHORT COMMENT/EXPLANATION. ANSWER IN 4 DECIMAL PLACES. Two gaseous streams containing the same fluid enters a mixing chamber and leaves as a single stream. For the first gas the entrance conditions are A1=500 cm², v1=230 m/s, p1=1.60 kg/m³. For the second gas the entrance conditions are A2= 300 cm³, m2=8.84 kg/s, v2=0.502 m³/kg. The exit stream conditions is v3=130 m/s and v3=0.437 m3/kg. Determine the following: (a) the total mass flow leaving the chamber (kg/sec) (b) the velocity of the gas at 2. (m/sec)1) An electric motor’s torque is a function of the speed at which it rotates. Many brushed AC motors have a linear toque curve as shown below. If the power output of the motor is equal to the torque (T) multiplied by the rotational speed in rad/s (w), what is the maximum power you can get out of the motor if the stall torque (Tstall) is 0.001 Nm and the no load speed (wno load) of 10,500 RPM? Give answer in Watts.
- The following are the given information of the test specimen material: Specimen Material Specimen Width (mm) Specimen Thickness (mm) Specimen Initial Length (mm) Specimen Final Length (mm) aluminium 1.5 13.5 42.4 47.5 Grip Separation 50 mm Total Elongation of the specimen is given by Elongation = i-io/io x 100 l : Final length, in m l0 : Initial length, in mThe temperature of an experimental heated enclosure is being ramped up from 80 to 450°F at the rate of 19°F/min. A thermocouple, embedded in a Thermowell for protection, is being used to monitor the oven temperature. The thermocouple has a time constant of 84 s. At t = 10 min, what is the difference between the actual temperature and the temperature indicated by the thermocouple? Final answer in whole number. Please show your complete solution and write readable.A tentative rule was given about tipping in Testing Experiment Table 8.4, where if a vertical line passing through the object's center of mass is within the object's area of support the object does not tip. According to the rule, the full box of crackers in the following experiment, which has a width of 13 cm and a height of 20 cm, was seen to tip at an angle of: θc=tan−1(13 cm/20 cm)=33∘θ According to the rule, at what angle will a box with the left half filled with crackers begin to tip? Assume the box is light-weight and that the contents remain in the configuration in