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Friction. Friction in machines wastes energy Wastes energy and can be transferred into heat. Advantages: Starts/stops machines Wet or icy roads Sand or gravel. Three Factors Determine Friction. Primary Cause: minute irregularities in rubbing surfaces Force pressing two surfaces together.
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Friction • Friction in machines wastes energy • Wastes energy and can be transferred into heat. • Advantages: Starts/stops machines • Wet or icy roads • Sand or gravel
Three Factors Determine Friction Primary Cause: minute irregularities in rubbing surfaces • Force pressing two surfaces together. • Nature of substances in contact with each other- Coefficient of friction • Kind of motion involved
Static Friction • Inertia that has to be overcome to start object moving • Condition of surface plays big role in how much starting friction is • “Coefficient of Friction” has been established for various materials • Typically found in table form
Static Friction • Equation: • Ex: 60# block, k=0.3 static force is parallel to friction • What is the static force?
Static Force – more examples • Force due to weight parallel to friction • Holding something in a vise • Static force perpendicular to wt and friction • Equation: • 12 lb block supported in vise, k=0.18 • Force exerted on each face of block?
Sliding Friction • Force needed to keep an object moving on surface • Amount of sliding resistance dependent upon nature of surface and normal force (weight) between the object and surface • Equation:
Sliding Friction • Put a wedge under a block • u=0.09, block = 100#, wedge 12 ft long and 2 ft high • Break it down into two parts • Force to put block on wedge • Force sliding block
Rolling Friction • Rolling friction greatly reduced because of the action of roller and bearings • Coefficient usually low: • Tire on concrete: u=0.02 • Roller bearing: u=0.001 – 0.003 • Equation:
Rolling Friction Example • Wheelbarrow = 500#, tire: u = 0.02 F = 500 x 0.02 = 10#
Power • NOT ability to move large objects • Power is the rate of doing work • Digging a trench: 1 man = 60days; 2 men = 30 days, 1 backhoe = 1 day • Same work, different power
Power example • Engine = 3500# hoisted vertically 7 ft in 3 mins. Calculate the power. • What if 1 min?
Horsepower • Power is often expressed in “horsepower” • Equation: • Equation:
Work Equivalents: BTUs • Heat energy can be transformed to mechanical energy • Mechanical energy can be converted to heat energy • Pilot slows airplane after touchdown, applying brakes. Kinetic energy of moving aircraft changes to heat energy – hot disks & hot tires
Work – BTU Conversion • 1 BTU = 778 ft-lbs of work • Example: 1500# weight lifted vertically 300 ft in 45 minutes • Work done lifting the weight? • How many BTU’s? • Power?
Same example, continued • Horsepower? • Now rework with t = 45 sec. • 45 sec = 0.75 hr
Another Example • What if we had a 350# aircraft engine 2.5 ft above the engine mount on a hoist, and we move the hoist horizontally 15 ft in 15 sec. • How much work was accomplished? • How much Power? • How much Horsepower? • How many BTU’s?