An airplane propeller is 1.99 m in length (from tip to tip) with mass 93.0 kg...

An airplane propeller is 1.99 m in length (from tip to tip) with mass 93.0 kg and is rotating at 2500 rpm (rev/min) about an axis through its center. You can model the propeller as a slender rod.

What is its rotational kinetic energy?

Suppose that, due to weight constraints, you had to reduce the propeller's mass to 75.0% of its original mass, but you still needed to keep the same size and kinetic energy. What would its angular speed have to be, in rpm?

Expert Solution

genius_generous answered 2 years ago

An airplane propeller is 2.28 m in length (from tip to tip) and has a mass...

An airplane propeller is 2.28 m in length (from tip to tip) and has a mass of 132 kg . When the airplane's engine is first started, it applies a constant torque of 1880 N⋅m to the propeller, which starts from rest. A) What is the angular acceleration of the propeller? Treat the propeller as a slender rod. B) What is the propeller's angular speed after making 5.00 rev ? C) How much work is done by the engine during...

A twin-blade aircraft propeller has a mass of 30.0 kg and a radius of 1.50 m....

A twin-blade aircraft propeller has a mass of 30.0 kg and a radius of 1.50 m. When the aircraft is flying at its top speed of 162 knots the tips of the propeller blades may not move faster than 300 m/s through the air (otherwise they would be travelling supersonically). Determine: 3.1 the maximum safe angular speed of the propeller in rpm; 3.2 the torque the engine must exert on the propeller in order for it to reach this maximum...

A ladder of length L = 2.3 m and mass m = 14 kg rests on...

A ladder of length L = 2.3 m and mass m = 14 kg rests on a floor with coefficient of static friction μs = 0.54. Assume the wall is frictionless. A person with mass M = 69 kg now stands at the very top of the ladder. What is the normal force the floor exerts on the ladder? What is the minimum angle to keep the ladder from sliding?

A ladder of length L = 2.8 m and mass m = 16 kg rests on...

A ladder of length L = 2.8 m and mass m = 16 kg rests on a floor with coefficient of static friction ?s = 0.51. Assume the wall is frictionless. 1) What is the normal force the floor exerts on the ladder? 2) What is the minimum angle the ladder must make with the floor to not slip? 3) A person with mass M = 69 kg now stands at the very top of the ladder. What is the...

A mass of 0.3 kg hangs motionless from a vertical spring whose length is 1.05 m...

A mass of 0.3 kg hangs motionless from a vertical spring whose length is 1.05 m and whose unstretched length is 0.40 m. Next the mass is pulled down to where the spring has a length of 1.30 m and given an initial speed upwards of 1.9 m/s. What is the maximum length of the spring during the motion that follows?

A mass of 0.3 kg hangs motionless from a vertical spring whose length is 0.88 m...

A mass of 0.3 kg hangs motionless from a vertical spring whose length is 0.88 m and whose unstretched length is 0.48 m. Next the mass is pulled down to where the spring has a length of 1.08 m and given an initial speed upwards of 1.9 m/s. What is the maximum length of the spring during the motion that follows?

A simple pendulum has a mass of 0.550 kg and a length of 2.00 m. It...

A simple pendulum has a mass of 0.550 kg and a length of 2.00 m. It is displaced through an angle of 11.0

A simple pendulum has a mass of 0.650 kg and a length of 7.00 m. It...

A simple pendulum has a mass of 0.650 kg and a length of 7.00 m. It is displaced through an angle of 14.0° and then released. Using the analysis model of a particle in simple harmonic motion, calculate the following. (Give your answer to the thousandths place.) (a) What is the maximum speed of the bob? (b) What is the maximum angular acceleration of the bob? (rad/s2) (c) What is the maximum restoring force of the bob? (d) Solve parts...

A simple pendulum with mass m = 1.6 kg and length L = 2.79 m hangs...

A simple pendulum with mass m = 1.6 kg and length L = 2.79 m hangs from the ceiling. It is pulled back to an small angle of θ = 10.7° from the vertical and released at t = 0. A)What is the period of oscillation? B)What is the magnitude of the force on the pendulum bob perpendicular to the string at t=0? C)What is the maximum speed of the pendulum? D)What is the angular displacement at t = 3.62...

A simple pendulum with mass m = 2.3 kg and length L = 2.67 m hangs...

A simple pendulum with mass m = 2.3 kg and length L = 2.67 m hangs from the ceiling. It is pulled back to an small angle of θ = 9.4° from the vertical and released at t = 0. What is the maximum speed of the pendulum? 4) What is the angular displacement at t = 3.57 s? (give the answer as a negative angle if the angle is to the left of the vertical) 5) What is the...

Question