7.4 - Hydraulic and Pneumatic Systems

2.4.19. [Level 2] A bicyclist comes around a decreasing-radius turn and maintains a constant speed of 20 mph. The radius of curvature varies as rc = a +bs², where s indicates motion along the curve expressed in feet (a = 50 ft and b = −0.0025 ft-¹). How long will it be until the bicycle slips if the maximum acceleration it can sustain without slip is 28 ft /s²? Bicyclist

Energy Star Washing Machine Model #: GTW500ASN Style: Top Loader Cubic Feet: 4.5 cubic feet Yearly Energy Usage (from Energy Guide): 210 kWh/y Non-Energy Star Washing Machine Model #: GTW465ASN Style: Top Loader Cubic Feet: 4.5 cubic feet Yearly Energy Usage (from Energy Guide): 175 kWh/yr Picture of Appliance: Website Link to Retail Store Purchase Price: (1) $498.00 Yearly Energy Use (in kWh): 175 kWh/yr Energy Cost per Year (Energy usage in kWh from above x .1111 cents/kWh): (3) Cost Recuperation Estimation 1 Picture of Appliance: Website Link to Retail Store Purchase Price: (2) $478.00 Yearly Energy Use (in kWh): 210 kWh/yr Energy Cost per Year (Energy usage in kWh from above x.1111 cents/kWh): (4) Initial Cost Difference: Energy Star Appliance Price (1) - Non-Energy Star Appliance Price (2) Calculation (Show Your Work): This is the original upfront price difference. In other words, how much more money the Energy-Star Appliance costs. 2. Cost Per Year Difference: Non-Energy Star…

C)If both cyclists have 170 mm cranks on their bikes, what will be the mechanical advantage (considering only the movement of the feet with a constant force for walking and riding), in percent, that each rider will have achieved over walking the same distance? (This can be found by dividing the distance wallked by the distance the feet move in riding.)

Recall the discussion on spacecraft from the chapter opener. The following problems consider a rocket launch from Earth’s surface. The force of gravity on the rocket is given by F(d)=−mk/d2, where m is the mass of the rocket, d is the distance of the rocket from the center of Earth, and k is a constant. 172.  As the rocket travels away from Earth’s surface, there is a distance D where the rocket sheds some of its mass, since it no longer needs the excess fuel storage. We can write this function as F(d)=⎨(−m↓1 k / d^2) if d < D                                                                                  (−m↓2 k / d^2) if d ≥ D Is there a D value such that this function is continuous, assuming m1≠m2?

2.4.20. [Level 2] A snowboarder is on the right edge of a halfpipe, just about to propel himself into the air. Imme- diately before leaving the halfpipe's edge, the snowboarder experiences a tangential acceleration of 10 ft/s? and a total acceleration of 20 ft/s?. What are his tangential speed and normal acceleration at this instant? The halfpipe has a ra- dius of 20 ft. How high does the snowboarder get in the air, and how long is he airborne? worl Triw mi uo Ду en

Are you as strong as a horse? Purpose: To understand the concept of work and power and to calculate the power generated by yourself or a friend. Materials: A tape measure, stairs, and a stopwatch, cell phone, or wristwatch. Key Physics Concept: Power is the rate of doing work. Power can be calculated by dividing the work done by the time it takes to do the work; in this case we will do work against gravity on a stair case (you may add your power in doing pushups to test your arm power). Can you guess what your peak horsepower is? You may do the stairs one at at time or multiple stairs at a a time; whatever is most safe and efficient for you. Procedure: Observations: Analysis: Conclusions: Application: 1. Will your hp change if you performed the activity for a longer duration (for example, climbed the CN tower staircase)? In what way? Explain. 2. Research the horsepower generated by a car. How does the average person's peak power rating compare to it? How many average people would it…

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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.

Examples - 3.1 To illustrate the proper use of units in the calculation of such terms, consider a system having a mass of 1 kg whose velocity increases from 15 m/s to 30 m/s while its elevation decreases by 10 m at a location where g = 9.7 m/s. What is the kinetic energy and potential energy in SI and AE systems?

XYZ Company Ltd has consulted your firm Zig-Zag Energy over an intention to generate electricity in Ghana. Being the senior project engineer for Zig-Zag Energy, management has asked you to prepare a detailed technical report in respect to the project. a) Discuss the major factors to take into consideration when consulting on such projects.                                                                                                           A tank containing air is stirred by a paddle wheel. The work input to the paddle wheels is 2000KJ and the heat transferred to the surrounding from the tank is 6000KJ. b) Determine the change in the internal energy of the system                                              There has been a sharp differences between the board of Blue-Blue Energy over which of the energy sources (hydroelectric power plant-HEP and Coal fired plant) is best for power generation. As an energy expert, you were confronted by the debating faction for your opinion. You…

A flywheel whose moment of inertia | = 200 lb-ft² is spinning at 210 RPM. For a flywheel, KE = lw?/2, where w is the angular velocity, rad/s. Let g = 32.2 ft/s?. Step 1 How high above the surface of the earth, in ft, would a 50 lb mass have to be raised to have its potential energy equal to the kinetic energy of the flywheel?

Imagine that as an engineering intern you have been assigned the task of selecting a motor for a pump. After reviewing motor catalogs, you narrow your choice to two motors that are rated at 1.5 kW. Additional information collected is shown in an accompanying table. The pump is expected to run 4200 hours every year. After checking with your electric utility company, you determine the average cost of electricity is about 11 cents per kWh. Based on the information given here, which one of the motors will you recommend to be purchased?

autonomous system in transportation sector