A crustacean (Hemisquilla ensigera) rotates its anterior limb to strike a mollusk, intending to break it open. The limb reaches an angular velocity of 175 rad/s in 1.50 ms. We can approximate the limb as a thin rod rotating about an axis perpendicular to one end (the joint where the limb attaches to the crustacean). If the mass of the limb is 28.0 g, the length is 3.80 cm, and the extensor muscle is 3.00 mm from the joint and acts perpendicular to the limb, what is the muscular force required to achieve the blow?

A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually increases, the turbine experiences a constant angular acceleration 0.168 rad/s2. After making 2870 revolutions, its angular speed is 146 rad/s. (a) What is the initial angular velocity of the turbine? (b) How much time elapses while the turbine is speeding up?

A carousel spins at an angular velocity of +1.2 rad/s. The brake is applied and the carousel completes exactly 7 revolutions while stopping. In rad/s2, calculate the angular acceleration of the carousel as it is stopping.

A 40.0-cm diameter disk rotates with a constant angular acceleration of 2.70 rad/s. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. (a) At t = 2.40 s, find the angular speed of the wheel. rad/s (b) At t = 2.40 s, find the magnitude of the linear velocity and tangential acceleration of P. linear velocity m/s tangential acceleration m/s2 (c) At t = 2.40 s, find the position of P (in degrees, with respect to the positive x-axis). ° counterclockwise from the +x-axis

The blades on an electric blender are moving with an angular velocity of 296.8 radians/s. When the blend button is pressed, the blades accelerate at a constant value of 302.7 rdians/s^2. Find the angular velocity of the blades after they have moved through an angular displacement of 75.9 rad (radians) with this angular acceleration. Note the unit of radians is abbreviated as rad.

A disc with 0.6 kg m^2 moment of inertia is free to rotate about its center. Two forces F1=5N and F2=3N is applied perpendicularly but on the opposite sides of disc. What is its angular acceleration if radius is 0.2 meters.

A 37.2-cm diameter disk rotates with a constant angular acceleration of 2.3 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. (a) Find the angular speed of the wheel at t = 2.30 s. rad/s(b) Find the linear velocity and tangential acceleration of P at t = 2.30 s. linear velocity  m/s tangential acceleration  m/s2 c) Find the position of P (in degrees, with respect to the positive x-axis) at t = 2.30s. °

The angular speed of a rotating platform changes from ω0 = 3.6 rad/s to ω = 6.4 rad/s at a constant rate as the platform moves through an angle Δθ = 5.5 radians. The platform has a radius of R = 12 cm. Calculate the angular acceleration of the platform α in rad/s2.

A lawnmower blade has a length of 0.75 m and a mass of 1.5 kg. The blade rotates around its center at an angular velocity of 500??????500revmin. The initial angular velocity of the lawnmower blade is Answer ????rads.

You take a ride in a ferris wheel.   Starting from rest, you accelerate for 0.45 revolutions, until you reach an angular velocity of 0.14 radians per second.   How much time has elapsed since the start of the ride? Give answer in two significant digits