A handyman has left a ladder leaning on a wall which begins to slip. At a given instant, the top of the m m ladder has an acceleration aB 4.4 and a velocity of vB = 5.2 both acting downward. s2 Determine the magnitude of acceleration at the bottom of the ladder, A, and the magnitude of the ladder's angular acceleration at this instant. The length of the ladder is l = 12 m and forms an angle of 0 = 30° with the ground at A.
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- A “blink of an eye” is a time interval of about 150 ms for an average adult. The “closure” portion of the blink takes only about 55 ms. Let us model the closure of the upper eyelid as uniform angular acceleration through an angular displacement of 12.2°. A) What is the value of the angular acceleration the eyelid undergoes while closing? in rad/s^2 B) What is the tangential acceleration of the edge of the eyelid while closing if the radius of the eyeball is 1.25 cm? in m/s^2While placing a compact disc into a CD player, you notice a small chip on its edge. You attempt to play the CD anyway by placing the CD into the player's deck with the chip at 0o = 12.6° as measured from the +x-axis. The CD begins to rotate with angular acceleration a = 2.31 rad/s². If the CD has been spinning for t = 3.51 s and the disc has a radius of r = 6.00 cm, what are the x-y coordinates of the chip after this time, assuming the center of the disc is located at (0.00,0.00). X = y = cm cmThe disk starts at wo = 2 rad/s when 0 = 0, and is given an angular acceleration a = (0.30) rad/s², where is in radians. (Figure 1) Figure 0.4 m P 1 of 1 Part A Determine the magnitude of the normal component of acceleration of a point P on the rim of the disk when 0 = 1 rev. Express your answer to three significant figures and include the appropriate units. an = LUI Part B xa 20.5 Submit μA xa at = 1.51 Xb Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining Provide Feedback مرات b Determine the magnitude of the tangential component of acceleration of a point P on the rim of the disk when 0 = 1 rev. Express your answer to three significant figures and include the appropriate units. μA Xb X.10n m a b ? m X.10n X X Previous Answers Request Answer ? X Incorrect; Try Again; 5 attempts remaining
- A. A large rotating cylinder uniformly increases in angular speed from rest to 0.170 rev/s in 28.0 s. What is its angular acceleration in radians per second per second?A bicycle wheel has a radius r = 0.24 m and rotates at a constant frequency of f = 79 rev/min. a. Calculate the period of rotation of the wheel in T seconds b. What is the tangential speed of a point on the wheel's outer edge in m/s?An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.200 rev/s. The magnitude of the angular acceleration is 0.881 rev/s². Both the the angular velocity and angular accleration are directed counterclockwise. The electric ceiling fan blades form a circle of diameter 0.800 m. Part E Calculate the magnitude ar of the radial (or centripetal) acceleration of the point at the end of the fan blade. ▾ View Available Hint(s) Hint 1. Definition of radial acceleration Radial acceleration ar for an object moving with tangential velocity vt in a circular path of radius r is given by Ap = v²/ pº V ΑΣΦ ar = 0.96 *** Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Review | Constan ? m/s²
- At its lowest setting a centrifuge rotates with an angular speed of ω1 = 250 rad/s. When it is switched to the next higher setting it takes t = 13 s to uniformly accelerate to its final angular speed ω2 = 650 rad/s. a. Calculate the angular acceleration of the centrifuge alpha1 in rad/s^2 over the time interval t. b. Calculate the total angular displacement (in radians) of the centrifuge, deltatheta, as it accelerates from the initial to the final speed.An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.280 rev/s. The magnitude of the angular acceleration is 0.883 rev/s². Both the the angular velocity and angular accleration are directed counterclockwise. The electric ceiling fan blades form a circle of diameter 0.710 m Express your answer numerically in revolutions per second. ► View Available Hint(s) 0.452 rev/s Submit ✓ Correct Part B Previous Answers Through how many revolutions has the blade turned in the time interval 0.195 s from Part A? Express the number of revolutions numerically. ► View Available Hint(s) 7.14×10-2 rev Submit Previous Answers CorrectAn optical disk drive in your computer is spinning at 10,000 rpm (1045 rad/s). It decelerates to a rest in 0.42 s. a. Find the angular acceleration. b. If the disk is 0.115 m in diameter, what is the magnitude of the tangential acceleration at a point 1/2 of the way out from the center?