A diver makes 2.5 revolutions while diving from a 10 m high diving platform to the water. Assuming zero initial vertical velocity, find the average angular velocity during the dive in rad/s. You need to determine the amount of time it took the diver to hit the water. Remember 1 revolution = 2pi radians.
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- The dung beetle is known as one of the strongest animals for its size, often forming balls of dung up to 10 times their own mass and rolling them to locations where they can be buried and stored as food. A typical dung ball formed by the species K. nigroaeneus has a radius of 1.80 cm and is rolled by the beetle at 6.15 cm/s. HINT (a) What is the rolling ball's angular speed (in rad/s)? rad/s (b) How many full revolutions are required if the beetle rolls the ball a distance of 2.40 m? revA 40.0-cm diameter disk rotates with a constant angular acceleration of 2.90 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) At t = 2.50 s, find the angular speed of the wheel. rad/s(b) At t = 2.50 s, find the magnitude of the linear velocity and tangential acceleration of P. linear velocity m/s tangential acceleration m/s2 (c) At t = 2.50 s, find the position of P (in degrees, with respect to the positive x-axis). ° counterclockwise from the +x-axisAn astronaut is being tested in a centrifuge. The centrifuge has a radius of 14 m and, in starting, rotates according to 0 = 0.30t2, where t is in seconds and 0 is in radians. (a) When t = 8.0 s, what is the magnitude of the astronaut's angular velocity? rad/s (b) When t = 8.0 s, what is the magnitude of the astronaut's linear speed? m/s (c) When t = 8.0 s, what is the magnitude of the astronaut's tangential acceleration? m/s? (d) When t = 8.0 s, what is the magnitude of the astronaut's radial acceleration? m/s2
- 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-axisA 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. °A race car, starting from rest, travels around a circular turn of radius 28.5 m. At a certain instant, the car is still accelerating, and its angular speed-is 0.794 rad/s. At this time, the total acceleration (centripetal plus tangential) makes an angle of 35.0° with respect to the radius. What is the magnitude of the total acceleration? Number Units
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