A particle is executing circular motion with a constant angular frequency of ω = 4.00 rad/s. If time t = 0 corresponds to the position of the particle being located at y = 0 m and x = 5 m, (a) what is the position of the particle at t = 10 s? (b) What is its velocity at this time? (c) What is its acceleration?

A woman rides a carnival Ferris wheel at radius 15 m, completing 5.9 turns about its horizontal axis every minute. What are (a) the period of the motion, and the magnitude of her centripetal acceleration at (b) the highest point and (c) the lowest point? (a) Number i (b) Number (c) Number M Units Units Units <

A rotating fan completes 1180 revolutions every minute. Consider the tip of a blade, at a radius of 20.0 cm. (a) Through what distance does the tip move in one revolution? What are (b) the tip's speed and (c) the magnitude of its acceleration? (d) What is the period of the motion? (a) Number i Units (b) Number i Units

An airplane is flying north. It makes a gradual 180° turn (at any instant, the turning angle is less than 90°) at constant speed of 472.2 km/h, changing its direction of travel from north through east to south in 38 s. The centripetal acceleration of the plane for this turn in m/s? is: Answer:

A marble slides down on a curved path defined by the parabola y = 0.4x2. When it is at point “A” (xA = 2m; yA = 1.6m), the velocity of the marble v = 8m/s and the tangental acceleration due to gravity is dv / dt = 4ms2. Calculate the normal component and the total magnitude of the accelarion of the mable in that instant.

Consider the curve r = (e', e†, 4t) . The component, in the direction of the vector (-1,1,2), of the velocity vector at time t = 0 equals V6 1 18/ 8 None of these options are true 1 V6 8,

An astronaut is rotated in a horizontal centrifuge at a radius of 7.40 m. (a) What is the astronaut's speed if the centripetal acceleration has a magnitude of 5.80g? (b) How many revolutions per minute are required to produce this acceleration? (c) What is the period of the motion? (a) Number 20.51 Units m/s (b) Number 26.5 Units rev/min (c) Number 2.27 Units S

A beetle moves in uniform circular motion over a plane defined by x and y axes. At a posi- tion with coordinates (3.0 [m], 2.0 [m]), the beetle moves with velocity v = 1.2 [m/s]î+2.3 [m/s]ĵ and the magni- tude of its radial acceleration a is 3.75 [m/s²]. What are the coordinates of the center of the circular path? A. (1.59 [m], -0.827 [m]) B. (1.41 [m], 2.87 [m]) C. (3.30 [m], 4.12 [m]) D. (4.59 [m], 1.17 [m])

Just need help with part B

A particle is moving along a circular path with tangential acceleration function of a(t) = (0.12t + 0.3) m/s^2 and a radius of curvature of 5.5 m. At t = 3 seconds, a velocity of 0.4 m/s is attained. Find the magnitudes of velocity and acceleration at t = 8s