An airplane is moving due west at a speed of 100 mi/hr. The propeller blades is 5 ft. long (radius of blades rotation) and turning 1800 RPM clockwise when viewed from the front. Determine (a) the propeller velocity at the instant when it is vertically above the axis of propellers rotation, (in ft/sec.) and (b) the magnitude and position of the vector resultant of the propellers. (ft/sec. and degrees).

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An electric hot water heater consumes 3.1 kilowatts of electricity and converts it to heat. How long will it take the water heater to heat a 67 gallon tank of water from 10 degrees Celsius to 50 degrees Celsius? (1 kilogram of water is 0.37 gallons, 1 Calorie = 4200 J).  It may be helpful to refer back to the weekly handout for guidance on this problem. Your final answer should be in minutes (rounded to the nearest 10 minutes).

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You are learning to play the violin. One end of the string is vibrating from the bow running along one end. The other end is tied down. The length of the string we will be looking at is 30 cm and the total mass of the string is 0,32 g. We will be modeling this as a standing wave on a string. You being to play the violin and play a note which has a frequency of 440 Hz. You (having incredible eyesight) see that there are 3 anti-nodes on the string forming a perfect sinusoidal wave (shown in diagram). L i) What is the wavelength of this standing wave? ii) What is the speed of the traveling waves that make up this standing wave? iii) What is the tension of the string? iv) Suppose you increase the tension of the string until you get a new standing wave. Will this standing wave have two antinodes or four antinodes? Explain. (You are still at a frequency of 440 Hz)

1. The development of thermodynamics since the 17th century, which was pioneered by the invention of the steam engine in England, and was followed by thermodynamic scientists such as Willian Rankine, Rudolph Clausius, and Lord Kelvin in the 19th century. explain what the findings or theories of the 3 inventors are! Please answer fast max 25-30.minutes thank u

Let us assume that a gyroscope is on your desk now. How the direction of its axis will change with time if you watch it for one whole day. Please draw a picture and try to analysis.

Suppose you're converting a bill of materials for machining feedstock from the British gravitational (U.S. system) of units to International System (SI) units.  Your goal is to have all of the material quantities in kilograms.  Your bill of materials lists values for required weights of brass rod in pounds.  To convert to these values to kilograms you first you divide by gravitational acceleration in feet per second squared to get a mass in slugs, then convert slugs to kilograms using standard conversion factors. Group of answer choices True False