DAVANT DAVANTI DAVANT DAVANTS The diameter of a tire is 38 cm. When the tire is spinning at its maximum rate 300 rpm, What is the speed of yellow dot at distance of 15 cm ? And blue dot at 30 cm ? What do you conclude?
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- Phonograph Phonograph records are vinyl discsthat rotate on a turntable. A typical record album is12 inches in diameter and plays at 3313 revolutions perminute.(a) Find the angular speed of a record album.(b) Find the linear speed (in inches per minute) of theouter edge of a record album.(4) 1 A model car is moving with the angle Find, at t= 1.55= on a circular track of radius r = 208m₁ (in degrees) given by the formula shown above. (b) the car's velocity (my and direc) (c) the car's acceleration (mag and direc) r = 208 m (a) the car's position (ie, the angle 0); draw an accurate diago ram Showing the car in this position. Keep in mind that measured in radians (0 = 0 (t) = 60t - £² (6: degrees to seconds) many of the formulas we've discussed require I to beIn 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 0 = 2.10t? - 0.800r where 0 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? |s (d) Through how many rotations has the roller turned between t = 0 and the time found in part (c)? | rotations
- The position of an object moving along an x axis is given by x = 3t – 412 + , where x is in meters and t in seconds. Find the position of the object at the following values of t: (a) 1 s, (b) 2 s, (c) 3 s, and (d) 4 s. (e) What is the object's displacement between t = 0 and t = 4 s? (f) What is its average velocity for the time interval from t 2 s to t = 4 s? (g) Graph x versus t for 0The position of an object moving along an x axis is given by x = 3t - 4t? + t, where x is in meters and t in seconds. Find the position of the object at the following values of t: (a) 1 s, (b) 2 s, (c) 3 s, and (d) 4 s. (e) What is the object's displacement between t = 0 and t = 4 s? (f) What is its average velocity for the time interval from t = 2 s tot = 4 s? (g) Graph x versus t for 0A turtle crawls along a straight line, which we’llcall the x-axis with the positive direction to the right. The equationfor the turtle’s position as a function of time is x 1t2 = 50.0 cm +(2.00 cm/s)t - (0.0625 cm/s2)t2. Sketch graphs of x versus t, vx versus t, and ax versus t, for the time interval t = 0 to t = 40 s.A turtle crawls along a straight line, which we’llcall the x-axis with the positive direction to the right. The equationfor the turtle’s position as a function of time is x 1t2 = 50.0 cm +(2.00 cm/s)t - (0.0625 cm/s2)t2. Find the turtle’s initial velocity, initial position, and initial acceleration.(a) A large rotating cylinder uniformly increases in angular speed from rest to 0.180 rev/s in 35.0 s. What is its angular acceleration in radians per second per second? ?rad/s2 (b) The same cylinder again starts from rest and accelerates uniformly in the same time interval, but now the angular acceleration is double that found in part (a). What is true about the final angular speed? It is double the value given in part (a). It is the same as the value given in part (a). It is half the value given in part (a). It is quadruple the value given in part (a).The illustrated device is a robotic probe that tests the surface integrity of curved panels. The arm's length L Is constant, but the height h of the probe tip and the orientation e of the arm are variable and given by e(t) = a[1 - cos(w;t)] h(t) = b[1 – cos(w>t)] What is the total acceleration felt by the probe tip?While driving along a highway at 80 km/h, a 15-m long truck driving at 60 km/h is exactly 10 m ahead ofyou. If your car is 5.0 m long, what acceleration is necessary if you wish to pass the truck in 3.0 s? With thisacceleration, what will your speed be just as the back end of your car passes the front end of the truck?The collar A in Fig. (a) slides along the rotating rod OB. The angular position of the rod is given by 0 = =nt2 rad, and the distance of the collar from 0 varies as R= 18t +4 m, where time tis %3D measured in seconds. Determine the velocity and acceleration vectors of the collar at t= 0.5s.In the figure, link 2 rotates with constant angular velocity 02. A slider link 3 moves outwards with a constant relative velocity Vop, where Q is a point on slider 3 and P is a point on link 2. The magnitude and direction of Coriolis component of acceleration is given by Qon 3 V ОР P on 2 (A) 2002 Vop; direction of Vop rotated by 90° in the direction 002 (B) ₂ Vop; direction of Vop rotated by 90° in the direction 00₂ (C) 2002 Vo/p; direction of Vop rotated by 90° opposite to the direction of 2 (D) ₂ Vqp; direction of Vop rotated by 90° opposite to the direction 002SEE MORE QUESTIONSRecommended textbooks for youElements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. 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