rpm, angular acceleration

"The blades in a blender rotate at a rate of 7290 rpm. When the motor is turned off during operation, the blades slow to rest in 3.67 s. What is the angular acceleration as the blades slow down? The initial rotation is in the positive direction."

collision

"A gun is fired vertically into a m = 1.34 kg block of wood at rest on a thin horizontal sheet directly above it, as shown in the attached figure (Word file). If the bullet has a mass of 22.0 g and strikes the block with speed v = 300 m/s, how high will the block rise into the air after the bullet becomes embedded in it?"

Speed

"A 9.20à—10^2 kg Toyota collides into the rear end of a 2.40à—10^3 kg Cadillac stopped at a red light. The bumpers lock, the brakes are locked, and the two cars skid forward 4.93 m before stopping. The police officer, knowing that the coefficient of kinetic friction between the tires and the road is 0.385, calculates the speed o ...continues

Angular acceleration

Q: "The blades in a blender rotate at a rate of 7290 rpm. When the motor is turned off during operation, the blades slow to rest in 3.67 s. What is the angular acceleration as the blades slow down? The initial rotation is in the positive direction." The OTA's solution is attached. We both got an answer of 208 rad/s^2.

Rotational Motion

A bicycle with 56.0 cm diameter tires travels 6.40 km. How many revolutions do the wheels make?

angular acceleration

"A small rubber wheel is used to drive a large pottery wheel, and they are mounted so that their circular edges touch. If the small wheel has a radius of 1.81 cm and accelerates at the rate of 7.19 rad/s2, and it is in contact with the pottery wheel (radius 22.8 cm) without slipping, calculate 1) the angular acceleration of the ...continues

balancing a seesaw

"Three boys are trying to balance on a seesaw, which consists of a fulcrum rock, acting as a pivot at the center, and a very light board L = 3.62 m long, as shown in the figure attached in a Word document. Two boys are already on either end (one on each end). One has a mass of m1 = 49.4 kg, and the other a mass of m2 = 31.2 kg ...continues

bicycle tire rotation

"A cyclist accelerates from rest at a rate of 1.18 m/s2. How fast will a point on the rim of the tire (diameter = 75.1 cm) at the top be moving after 2.82 s?" (Diagram attached in a Word file.)

Moment of inertia about axis of rotation

A helicopter rotor blade can be considered a long thin rod, as shown in figure attached in Word. If each of the three rotor helicopter blades is L = 3.63 m long and has a mass of m = 156 kg, calculate the moment of inertia of the three rotor blades about the axis of rotation. See attached file for full problem description. ...continues

angular acceleration

"A mass attached to a 59.7 cm long string starts from rest and is rotated 32 times in 68.0 s before reaching a final angular speed. Determine the angular acceleration of the mass, assuming that it is constant."