3. In the Olympic sport of discus, athletes spin around in circles to throw a disc. The radius of the circle made by the disc is 4.26 m. The disc starts from rest and is launched tangentially with a speed of 9.35 m/s in 4.10 s. A) What is the angular acceleration of the disc? B) How many revolutions does the disc make? C) If the radius of the circle is smaller than 4.26 m and the disc is launched with the same speed and in the same time, would the angular acceleration of the disc be larger or smaller than the answer in part A? Explain. Pictorial Representation Mathematical Representation
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- An ultracentrifuge accelerates from rest to 108600rpm in 2.1min. A. What is its angular acceleration in units of radians per second squared? B. What is the tangential acceleration, in meters per second squared, of a point 9.5cm from the axis of rotation? C. What is the centripetal acceleration, in multiples of g, of this point at full speed?2. We can use a simple model which uses our understanding of uniform circular motion to estimate the largest possible rotational speed of a planet around its own axis. For a planet of mass M and radius R our model assumes that the planet "falls apart" when the loose rocks on the surface at the equator are no longer sitting on the surface because they leave the surface. A loose rock of mass m is shown on the equator in the drawing. M m R С. Now return to the 'slowly' rotating planet (where the loose rocks are not flying off the surface) and consider a loose rock that is not on the equator, but at some higher latitude, 0 (as shown). Do you need forces besides gravity and the normal force to make this situation possible? Justify your answer (you just need to justify whether you need another force but not what that other force might be if it is needed).An optical disk drive in your computer can spin a disk up to 10,000 rpm (about 1045 rad/s). If a particular disk is spun at 910.0 rad/s while it is being read, and then is allowed to come to rest over 0.301 seconds, what is the magnitude of the average angular acceleration of the disk? rad average angular acceleration: s2 If the disk is 0.12 m in diameter, what is the magnitude of the tangential acceleration of a point 1/8 of the way out from the center of the disk? m tangential acceleration:
- Help1) Suppose a truck is going Around around about somewhere in Wisconsin. The roundabout has a radius of 15 m and the truck is blooming at 10 m/s.How long does it take for the truck to go around once? What is the angular velocity of the truck? 2)Suddenly the driver hit the brakes on the truck starts to slow with a linear acceleration of 1.2 m/s squared. What is the trucks angular acceleration? What is the total linear acceleration of the truck?An ultracentrifuge accelerates from rest to 9.97×10^5 rpm in 1.51 min. What is its angular acceleration in radians per second squared? What is the tangential acceleration of a point 9.10 cm from the axis of rotation? What is the radial acceleration in meters per second squared and in multiples of ? of this point at full revolutions per minute?
- The tires of a car make 85.0. revolutions as the car reduces its speed uniformly from 90.0 km/hr to 60.0 km/hr. The tires have a diameter of 0.90 m. What is the angular acceleration? If the car continues to slow down at this rate, how much more time is required to stop?3. 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 child with mass 42 kg sits on the edge of a merry-go-round at a distance of 3.0 m from its axis of rotation. The merry-go-round accelerates from rest up to 0.40 rev/s in 10 s. a. What is the angular acceleration of the merry-go-round? Express this in radians/second. b. What is the angular velocity at 5 s? c. Calculate the centripetal acceleration and tangential acceleration at 5 s. d. What is the total acceleration at 5 s? e. If the coefficient of static friction between the child and the surface of the merry-go-round is 0.6, does the child fall off before 5 s? Hint: To determine this, calculate the frictional force and force due to the acceleration of the merry-go-round on the child. Compare the two forces to find which is larger than the other, therefore overcomes the other.
- A bus is traveling at a speed of 20.0 m on a straight horizontal road. The wheels have a radius of 0.400 m. If the bus speeds up with a linear acceleration of 1.50 m/s2 for 8.00 s, what is the angular speed of each of the wheels during this time?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^2A Lazy Susan (turning tabletop) has radius 0.750 m. An apple is placed at the edge of the turning table. A child turns the tabletop from rest to an angular speed of 5.00 rev/min in 3.00 s. What is the value of the apple's tangential acceleration at 3.00 second in m/s²? Your Answer: Answer A Question 26 (4 points) staks question A Lazy Susan (turning tabletop) has radius 0.750 m. An apple is placed at the edge of the turning table. A child turns the tabletop from rest to an angular speed of 5.00 rev/min in 3.00. What is the value of the apple's centripetal acceleration at the 3.00 second in m/s²?