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The viscosity of a fluid can be measured in an experiment by dropping a small ball into a calibrated tube containing the fluid and observing the random variable X, the time it takes for the ball to drop the measured distance. Assume that X is normally distributed with the mean of 20 seconds and a standard deviation of 0.5 second for a particular type of liquid.
(a) What is the standard deviation of the average time of 40 experiments?
(b) What is the probability that the average time of 40 experiments will exceed 20.1 seconds?
(c) Suppose the experiment is repeated only 20 times. What is the probability that the average value of X will exceed 20.1 seconds?
(d) Is the probability computed in part (b) greater or less than the probability computed in part (c)? Explain why this inequality occurs.
The velocity along a pathline is given by V (m/s) = s^2 x t^(1/2) where s is in meters and t is in seconds. The radius of curvature is 0.5 m. Evaluate the acceleration along and normal to the path at s = 2m and t = 0.5 seconds.
Two carts with masses of 4.72 kg and 2.84 kg move toward each other on a frictionless track with speeds of 4.86 m/s and 3.97 m/s respectively. The carts stick together after colliding head-on. Find the final speed.
Vehicles begin to arrive at a toll booth at eight vehicles per minute from 9 A.M. to 10 A.M. The booth opens at 9:10 A.M. and services at a rate of ten vehicles per minute until 9:40 A.M. From 9:40 A.M. until 10 A.M.
If the allowable shear stress is 15ksi, determine the diameter of a solid shaft if it is to transmit 50hp at a frequency of (a) 900rpm, (b) 1800rpm
A triangular shaped swale is to retain the runoff from a catchment with a design runoff rate of 0.01 m3/sec. The longitudinal slope of the swale is to be 1.5% with side slopes of 5:1 (H:V).
a job requires excavating and hauling 500 cyds (in situ) of sandy soil. in your posession is an excavator and a dump truck (capacity 30 cyds loose) the dump truck has a round trip travel time of 5 mins and 45 secs to the dump site and back.
The officer believes the driver is intoxicated and begins accelerating uniformly to 50 mi/h in 8 seconds and maintains a constant velocity of 60 mi/hr, overtakes the motorist 42 seconds after he passed the officer.
For a mixed liquor volatile suspended solids (MLVSS) of 1800 mg/L, what is the total return solids flow rate?
Indoor air quality is an under appreciated health hazardous. The air quality in a building can be modeled as a CSTR. Suppose that the carpet in a new office building releases formaldehyde at a rate of 10 micrograms per hour.
a) calculate the operational compressive strain this copper specimen is subjected to. b) calculate the maximum strain this copper alloy can sustain without becoming plastically deformed.
how to calculate the principle of shoring system in formwork analysis when the secondly floor upper has been poured ?
A fixed-bed carbon adsorption system consisting of two 3-foot-deep beds containing 6 x 16 mesh carbon operates at a superficial gas velocity of 60 ft/min. Specify the horsepwoer of the fan motor for 15,000-cfm system
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