couple of 20 Nm and completes 60 revolutions Ex. 26 : A body rotating from rest due to a couple of 20 Nm and completes 60 revolutions in one minute. Find the M. I. of the body.
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- The rotation of the planet Mercury is a little strange compared to Earth. It rotates on its axis very slowly; one rotation takes 56.85 earth days. Assuming Mercury is a perfect sphere of mass 3.29*1023 kg and radius 2440 km, calculate its angular momentum. a) 1.0*1030 kg.m2/s b) 1.0*1028kg.m2/s c) 1.0*1032 kg.m2/s Calculate its rotational KE. a) 1.4*1023 J b) 3.4*1021 J c) 6.4*1023 J3. A typical hard disk in a desktop computer is a uniformly solid, 400 gram disk 3.5 inches in diameter, and takes 70 milliseconds to spin from rest up to a frequency of 7200 revolutions per minute (r.p.m.). A) What is the period of the disk in seconds when it's at its final spinning rate? B) What is its angular speed in rad/s when it's at its final spinning rate? C) Assuming it is constant throughout this spin-up process, what is the angular acceleration of the disk in rad/s?? D) How many revolutions does the disk go through during this spin-up process? E) Which is bigger, the centripetal force felt by a dust particle stuck to the edge of the disk halfway through its spin-up or the centripetal force felt by an identical dust particle stuck halfway to the edge of the disk when it's at full speed?A high-speed sander has a disk 4.10cm in radius that rotates about its axis at a constant rate of 1250 revolutions per minute. a) Determine the angular speed of the disk in radians per second. b) Determine the linear speed of a point 1.80cm from the disk's center c) Determine the centripetal acceleration of a point on the rim. d) Determine the total distance traveled by a point on the rim in 1.80s.
- 4.) A DVD drive rotates a DVD at 1000 revolutions per minute (rpm). a) What is the angular velocity in revolutions per second? b) What is the angular velocity in radians per second? c) If the radius of the DVD is 0.05 m, at what linear speed (m/s) is a point at the edge of the DVD moving?bage An arm swings from neutral (0 deg) to 94.3 deg flexion and then back 11.5 deg. Calculate the angular displacement 0 in radians to 2 decimal places. Answer: Check 1 g 4 Ps 8°C Heavy rain des Next page 4 22:07 03/12/2023 □A baseball pitcher brings his arm forward during a pitch, rotating the forearm about the elbow. v= 35.5 m/s d=0.29 m If the velocity of the ball in the pitcher's hand is 35.5m/s and the ball is 0.29 m from the elbow joint, what is the angular velocity (rad/s) of the foerarm?
- Which one is the correct answer, help me to solve this question.EXAMPLE 19: A bucket full of water is to be rotated in the vertical plane. What minimum angular velocity in rad/s, is necessary to keep the water inside ir the rotating arm is 120 cm?A rock tied to the end of string swings at a constant angular rate. If you are told that the string can support a total of 85 N of force before breaking, what is the maximum angular velocity the rock can rotate if the rock has a mass of 0.16 kg, and the length of the string is 0.5 m? Give your answer in units of radian per second
- 3. It takes 21 radians (rad) to get around a circle, which is the same as 360°. How many radians are in 1°?During a very quick stop, a car decelerates at 7.69m/s?. a) What is the angular acceleration of its 0.195-m-radius tires, assuming they do not slip on the pavement? rad/s? b) How many revolutions do the tires make before coming to rest, given their initial angular velocity is 89 rad/s? rev c) How long does the car take to stop completely? d) What distance does the car travel in this time? e) What was the car's initial velocity? m/s