Convert the translation equation along x − axis to rotation equation about z − axis for: i) linear momentum ii) force iii) kinetic energy
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Convert the translation equation along x − axis to rotation equation about
z − axis for:
i) linear momentum
ii) force
iii) kinetic energy
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- 2. Assume the Earth's center is in uniform, unaccelerated motion with respect to inertial space, and that the Earth rotates at a fixed rate of we = 360 deg/day. Find {@ec}EC• the inertial rotation of the Earth as represented in FEc - That is, express the inertial rotation of the Earth in terms of iɛc, jEc, and kɛC (rad/s).to expand the conservation of energy and use it to derive an equation below (Equation 5) for I in terms of g, h, m, r, and v: Given: g = gravitational acceleration h = total vertical drop of can as it rolls diagonally down the incline m = mass of the can r = radius of the can v = final linear velocity of the rolling can Requested: I = angular inertia implied by the can’s motion Equations: UGo = m g h = KT + KR [Equation 2] KT = ½ m v 2 KR = ½ I KT = ½ m v2 KR = ½ I w2 v = w rDon't copy others work
- Jerry's great grandmother's vitrola plays records at 78 roatations per minute (rpm). Describe what will happen if Jerry starts the vitrola on a friction free table. Justify your answer.56. When the speed of an object is quadrupled, its kinetic energy is A. doubled B. increased by 16x C. quadrupled D. increased by 8x E. decreased in halfSemi trailer trucks have an odometer on one hub of a trailer bill the hub is weighted so that it does not rotate but it contains gears to count the number of wheel revolutions then calculates the distance travelled if the wheel has a 1.08 M diameter and goes through a 150,000 rotations how many kilometres should the odometer read?
- 3. A ball rolls along the smooth frictionsless track shown in in the figure below with an initial speed of 5.00 m/s. Assume that the ball turns all the corners smoothly with no loss of speed. Calculate to three significant figures despite what the figure shows. (a) What is the ball’s speed as it goes over the top? (b) What is its speed when it reaches the level track on the right side? (c) What is the difference between the final speed and the initial speed?A disk with mass m = 9 kg and radius R = 0.37 m begins at rest and accelerates uniformly for t = 16.9 s, to a final angular speed of w = 33 rad/s.