Airplane propeller The length of the largest airplane propeller ever used was 22 feet 7.5 inches. The plane was powered by four engines that turned the propeller at 545 revolutions per minute. (a) What was the angular speed of the propeller in radians per second? (b) Approximately how fast (in mi/hr) did the tip of the propeller travel along the circle it generated?
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- In curvilinear kinematics, can tangential acceleration = net acceleration? If yes, when does it occur?A particular bicycle has wheels that are 66 cm in diameter. The radius of the crank armis 18 cm. At its lowest point, the pedal is 16 cm above the ground. A person is pedalingthe bicycle such that the crank arm rotates once every second.Questions:1. Write an equation that models the vertical position of the foot with respect to theground, starting from the lowest point, as the crank arm turns.2. What is the rate of change of the vertical position of the foot when it is at themidline? Explain your answer3. How fast, in kilometres per hour, is the bicycle moving?4. Determine an equation that would model the foot’s position when the cyclist istraveling 5 km/h. Compare this equation to your equation from question 1 andexplain any differences.5. Use calculus to explain why the rotation velocity of a point on the perimeter of awheel is the same as the velocity of the pedal. Use examples to support youranswer.Using the image on the Moment of Inertia Tab, where the following criteria are considered:Assign the values to “Apply torque” = 2 Nm, “Brake force” fr = 0.2 N. “Platform Mass” m= 0.25 kg.Use"radians" for angle units. Write down the values that appear in the graphs of torque, a moment of inertia, and angular acceleration. Then, obtain the other physical quantities by applying the equations of rotational dynamics that correspond to:Time:4.5Applied torque:2 N-mBrake torque:Net torque:Angular impulse:Moment of inertia:Angular acceleration:Initial angular velocity:Final angular velocity:
- While driving along a highway at 80 km/h, a 15-m long truck driving at 60 km/h is exactly 10 m ahead ofyou. If your car is 5.0 m long, what acceleration is necessary if you wish to pass the truck in 3.0 s? With thisacceleration, what will your speed be just as the back end of your car passes the front end of the truck?Please help, I'm having real trouble with this absolute motion analysis, thank you so much.Hi please help me answer this with drawing, thank you. Plot a displacement diagram for a body that is to rise and fall as follows; rise 1 in. in 4 seconds with uniform acceleration, rise 1 in. in 4 sec. with uniform retardation, rest 6 seconds, fall 1 ¼ in. in 6 sec with harmonic motion, rise ½ in. in 3 sec with uniform velocity, fall 1 ¼ in. at once, and rest 4 sec.. Plot displacement as ordinates full size and the time as abscissas to a scale of 1 in. = 4 sec.
- A solid cylinder (r= 4cm) goes down a ramp at a declination of 20°. The longitude of the ramp is 75 cm and 20 cm high. On average, the cylinder takes 1.25 s to go down the ramp. Without specifying the value of the mass determineWhat is the acceleration of the center of mass?What is the angular acceleration of the object?What is the moment of inertia of the object?What is the value of the radius of gyration?You walk along the beach towards a dock while your friend rows a boat towards the same dock on a flat lake. Your friend's boat approaches the dock on a straight course, but also rotates about its center-of-mass since your friend is not pulling evenly on the oars. If you knew your own velocity (vwalker), the magnitude of boat's angular velocity (thetaboat), and radius vector from yourself to your friend in the boat (rfriend) at any given time, you could use the following equation to calculate the your friend's velocity: vfriend = vwalker + (thetaboat)k x rfriend where k is a unit vector in the vertical direction. True False1. A truck undergoes an acceleration of 0.25m/s2. If its wheels are 1.0 meter in a diameter, what is their angular acceleration? 2. A record is dropped on a turntable rotating at 33.5 rpm. The record slips briefly before reaching the same speed as the turntable. If the turntable rotates through 20 degrees while the record is slipping, find the record's angular acceleration.
- Find the Following: 1.Keq 2. Ceq 3. Natural angular velocityThe propeller on Don Karnage's airplane can be modeled as three identical thin rods of uniform density extending radially from the rotational axis of the propeller. To take off, the propeller must accelerate from rest to 633 rpm in 4 s. If the length and mass of each rod are 0.872 m and 3.11 kg, what must be the magnitude of torque in N*m) necessary to accelerate the propeller? Explain how you solved the problem involving something undergoing angular acceleration Be sure to state what your known and unknown quantities are, what concepts were applied, and what equations were used!Graph below represents the force on a 12 kg air mass as it passes through a jet engine. Immediately after entering the engine, the force is 9,039 N, and the force tapers linearly to zero once the air reaches the back of the engine 2.3 m later. If the air enters the engine with velocity 252 m/s, what is its exit velocity? (Please answer to the fourth decimal place - i.e 14.3225)