Concept explainers
As part of a team investigating the effect of mass on the oscillation frequency of a spring, you obtain data from three different lab technicians, provided for you in the starter file online.
The data consists of frequency data on three different springs recording the amount of time it takes each spring with different masses attached to oscillate a certain number of times. In this experiment, each technician recorded the time it took for the spring to oscillate 25 times, stored in the variable N in the starter fie.
As part of the analysis, you need to write a program containing the experimental data provided. The data should be converted to make all units consistent. The data should then be passed into a function.
The function should accept three inputs: a
The function should return two matrices. The first matrix should contain the mass measurements (kilograms) in the first column and the period (seconds), or the length of time required for one oscillation for each mass in the second column. The second matrix should contain a calculation of the force applied (newtons) by each mass in the first column and the frequency, the number of oscillations per second, or the inverse of the period (hertz) for each mass measured in the second column.
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Chapter 16 Solutions
THINKING LIKE AN ENGINEER W/ACCESS
- Dry atmospheric air enters an adiabatic compressor at a 20°C, 1 atm and a mass flow rate of 0.3kg/s. The air is compressed to 1 MPa. The exhaust temperature of the air is 70 degrees hottercompared to the exhaust of an isentropic compression.Determine,a. The exhaust temperature of the air (°C)b. The volumetric flow rate (L/s) at the inlet and exhaust of the compressorc. The power required to accomplish the compression (kW)d. The isentropic efficiency of the compressore. An accounting of the exergy entering the compressor (complete Table P3.9) assuming that thedead state is the same as State 1 (dry atmospheric air)f. The exergetic efficiency of the compressorarrow_forwardA heat pump is operating between a low temperature reservoir of 270 K and a high temperaturereservoir of 340 K. The heat pump receives heat at 255 K from the low temperature reservoir andrejects heat at 355 K to the high temperature reservoir. The heating coefficient of performance ofthe heat pump is 3.2. The heat transfer rate from the low temperature reservoir is 30 kW. The deadstate temperature is 270 K. Determine,a. Power input to the heat pump (kW)b. Heat transfer rate to the high-temperature reservoir (kW)c. Exergy destruction rate associated with the low temperature heat transfer (kW)d. Exergy destruction rate of the heat pump (kW)e. Exergy destruction rate associated with the high temperature heat transfer (kW)f. Exergetic efficiency of the heat pump itselfarrow_forwardRefrigerant 134a (Table B6, p514 of textbook) enters a tube in the evaporator of a refrigerationsystem at 132.73 kPa and a quality of 0.15 at a velocity of 0.5 m/s. The R134a exits the tube as asaturated vapor at −21°C. The tube has an inside diameter of 3.88 cm. Determine the following,a. The pressure drop of the R134a as it flows through the tube (kPa)b. The volumetric flow rate at the inlet of the tube (L/s)c. The mass flow rate of the refrigerant through the tube (g/s)d. The volumetric flow rate at the exit of the tube (L/s)e. The velocity of the refrigerant at the exit of the tube (m/s)f. The heat transfer rate to the refrigerant (kW) as it flows through the tubearrow_forward
- Water enters the rigid, covered tank shown in Figure P3.2 with a volumetric flow rate of 0.32L/s. The water line has an inside diameter of 6.3 cm. The air vent on the tank has an inside diameterof 4.5 cm. The water is at a temperature of 30°C and the air in the tank is at atmospheric pressure(1 atm) and 30°C. Determine the air velocity leaving the vent at the instant shown in the figurearrow_forwardUsing method of sections, determine the force in member BC, HC, and HG. State if these members are in tension or compression. 2 kN A 5 kN 4 kN 4 kN 3 kN H B C D E 3 m F 2 m -5 m 5 m- G 5 m 5 m-arrow_forwardDetermine the normal stresses σn and σt and the shear stress τnt at this point if they act on the rotated stress element shownarrow_forward
- Using method of joints, determine the force in each member of the truss and state if the members are in tension or compression. A E 6 m D 600 N 4 m B 4 m 900 Narrow_forwardQuestion 5. The diagram below shows a mass suspended from a tie supported by two horizontal braces of equal length. The tie forms an angle "a" of 60° to the horizontal plane, the braces form an angle 0 of 50° to the vertical plane. If the mass suspended is 10 tonnes, and the braces are 10m long, find: a) the force in the tie; & b) the force in the braces Horizontal Braces, Tie Massarrow_forward= MMB 241 Tutorial 2.pdf 1 / 3 75% + + Tutorial z Topic: Kinematics of Particles:-. QUESTIONS 1. Use the chain-rule and find y and ŷ in terms of x, x and x if a) y=4x² b) y=3e c) y = 6 sin x 2. The particle travels from A to B. Identify the three unknowns, and write the three equations needed to solve for them. 8 m 10 m/s 30° B x 3. The particle travels from A to B. Identify the three unknowns, and write the three equations needed to solve for them. A 40 m/s 20 m B 1arrow_forward
- 3 m³/s- 1 md 45° V 1.8 mr 2mrarrow_forward= MMB 241 Tutorial 2.pdf 3/3 75% + + 6. A particle is traveling along the parabolic path y = 0.25 x². If x = 8 m, vx=8 m/s, and ax= 4 m/s² when t = 2 s, determine the magnitude of the particle's velocity and acceleration at this instant. y = 0.25x² -x 7. Determine the speed at which the basketball at A must be thrown at the angle of 30° so that it makes it to the basket at B. 30° -x 1.5 m B 3 m -10 m- 8. The basketball passed through the hoop even though it barely cleared the hands of the player B who attempted to block it. Neglecting the size of the ball, determine the 2arrow_forwardAdhesives distribute loads across the interface, whereas fasteners create areas of localized stresses. True or Falsearrow_forward
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