In a manufacturing process, a large, cylindrical roller is used to flatten material fed beneath it. The diameter of the roller is 7.00 m, and, while being driven into rotation around a fixed axis, its angular position is expressed as 8 = 2.10t? - 0.800:3 where o is in radians and t is in seconds. (a) Find the maximum angular speed of the roller. rad/s (b) What is the maximum tangential speed of a point on the rim of the roller? m/s (c) At what time t should the driving force be removed from the roller so that the roller does not reverse its direction of rotation?

In a manufacturing process, a large, cylindrical roller is used to flatten material fed beneath it. The diameter of the roller is 7.00 m, and, while being driven into rotation around a fixed axis, its angular position is expressed as 8 = 2.10t? - 0.800:3 where o is in radians and t is in seconds. (a) Find the maximum angular speed of the roller. rad/s (b) What is the maximum tangential speed of a point on the rim of the roller? m/s (c) At what time t should the driving force be removed from the roller so that the roller does not reverse its direction of rotation?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A marble rolling with speed of 20 cm/s, rolls off the edge of a table that is 800m high. How far horizontally from the table edge does the marble strike the floor? ANS: 8.1 cm
The angle of twist for a circular shaft subjected to a twisting moment is given bythe equation 0 = TL/GJ. What are the dimensions of J if 8 is an angle in radians,Tis the moment of a force, Lis a length, and G is a force per unit area?
Given the image below, if AB is 0.5m lopng, Rod BD is 1.5m long, and the velocity of point B is 0.5m/s ↖45.0°, what is the values of the lengths of the sides of the triangle formed by points B and D and point C, the instantenous center of rod BD? choices: a. BC = 0, DC = 1.5m b.BC = 1.061m, DC = 1.061m c. BC = 2.12m, DC = 1.5m d. BC = 1.5m, DC = 2.12m
The plate of a record player with a moment of inertia of 0:015 kg m2 rotates freely at 33 rpm. If you slowly drop a 180-gram vinyl disc with a 30:48 cm diameter on the board, what will be the new angular speed? (N.B. In real life, the turntable motor forces the speed to always remain 33 rpm. In this problem, we act as if the engine did not exist. )
Consider a projectile launched at a height h feet above the ground and at an angle ? with the horizontal. If the initial velocity is v0 feet per second, the path of the projectile is modeled by the parametric equations x = t(v0 cos(?)) and y = h + (v0 sin ?)t - 16t2.Let h=6, v0=63.25, and ?=0.79. Find the maximum height of the projectile. (Round your answers to two decimal places.)
How are you getting 16 mm at the end for an answer , "HX83=219X10^3/164.909".................is that your diving by f/a and multiplying by 83 to get H , im just no sure what you did to get 16 ?.
A circular saw blade 0.6 m in diameter starts from rest and accelerates with constant acceleration to an angular velocity of 100 rad.s-1 in 20 s. Find the linear velocity of a point in the rim of the saw when the angular velocity is 10 rad.s-1.
A 1000 kg spacecraft is approaching Jupiter (which is at the origin). The position of the spacecraft is given by the vector RSC = (0.0,-2.533) x 106km. The velocity is given by VSC= (+6.00, +8.00) km/sec. The mass of Jupiter, (MJ=318 MEarth) and MEarth = 5.97 x 1024 kg. A) What is the potential and kinetic energy of the spacecraft (write each to 3 sig figs.) What is the total energy of the spacecraft? Call the total energy Ei. B) Can it escape Jupiter? Justify your answer. C) What is the angular momentum of the spacecraft around Jupiter? Call this Li.
In a rotating body, if it rotates at 2355 revolutions per minute.What would be the angular velocity ? the angular velocity of the rotating body in rad/sec is
A 45 grams (0.045 kg) golf ball of diameter equal to 43 mm fell into a 2m deep lake. Neglect inertia at the moment of impact. Assume viscosity of 1.12x10-3 Ns/m2 , water density of 1,000 kg/m3 and Cd=0.5. Sphere volume equals 4π r³ /3. 1. How long will it take from the moment it hits the surface until it gets to the bottom? 2. If one estimates the Cd with Cd=24/Re formula, the settling velocity would be unrealistically large. Why?
Example 9.15 A rope, to which a weight is attached, passes around a pulley 50 cm in diameter. The angular acceleration of the pulley is 18 rad/s2. If the pulley is initially rest, find a- The time required for the weight to attain a velocity of 15 m/s b- The number of revolution through which the pulley rotates during that period, c- The total acceleration of a point on the rim of the pulley 0.5 second after it was at rest.
A machine part is initially rotating at 0.500 rad/s. Its rotationspeeds up with constant angular acceleration 2.50 rad/s2. Through whatangle has the machine part rotated when its angular speed equals 3.25 rad/s?Give your answer in (a) radians, (b) degrees, and (c) revolutions.