Find the tangential and normal components of acceleration for r(t) = (8 cos t ,8 sin t, 8t) %3D
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- The period of a stone swung in a horizontal circle on a 2.50-m radius is 1.20 s. (a) What is its angular velocity in rad/s? (b) What is its linear speed in m/s? (c) What is its radial acceleration in m/s2?A car sits at rest at the starting line of a circular racetrack. It begins to accelerate at a constant rate (that 15, a constant angular acceleration) as it makes Its way halfway around the track. It then decelerates at the same constant rate during the second halt of the lap. It completes the entire lap in a time of 28.5 seconds. Also, the radius of the racetrack is 42.0 m. What is the car's top speed?A) 25.6 m/SB) 44.1 m/SC) 18.5 m/sD) 35.1 m/sA wheel 25 cm in radius turning at 120 rpm increases its frequency to 660 in 8 s . Find the constant acceleration in rad /s*2 and the tangential acceleration of a point on its rim.
- A car drives in a circle of radius 100 m. The car travels for an angular displacement of 37rad37rad. This is equivalent to a linear distance around the circle ofA race car starts from rest on a circular track of radius 400 m. Its speed increases at the constant rate of 0.500 m/s2. At the point where the magnitudes of the radial acceleration is twice the tangential acceleration, determine (a) the speed of the race car, and (b) the elapsed time