Question

A particle is moving along a circular path having a radius of 1m such that its...

A particle is moving along a circular path having a radius of 1m such that its position as a function of time is given by θ = cos 2t, where θ is in radians and t is in seconds. Determine the magnitude of the acceleration of the particle when θ = 1/2 radian.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A particle moves along a circular path having a radius of 6 in. such that its...
A particle moves along a circular path having a radius of 6 in. such that its position as a function of time is given by theta=(cos4t)rad where t is in seconds. Determine the magnitude of the acceleration of the particle when theta = 30.
The position of a particle moving along the x axis is given in meters by x...
The position of a particle moving along the x axis is given in meters by x = 3.0t2 – 1.0t3, where t is in seconds. (a.) At what time does the particle reach its maximum positive x position? (b.) What total length of path does the particle cover in the first 4.0 sec? (c.) What is its displacement during the first 4.0 sec? (d.) What is the particle’s speed at the end of the first 4 sec? (e.) What is...
The function s(t) describes the position of a particle moving along a coordinate line, where s...
The function s(t) describes the position of a particle moving along a coordinate line, where s is in feet and t is in seconds. s(t) = 3t2 - 6t +3 A) Find the anti-derivative of the velocity function and acceleration function in order to determine the position function. To find the constant after integration use the fact that s(0)=1. B) Find when the particle is speeding up and slowing down. C) Find the total distance from time 0 to time...
A particle travels along the path defined by the parabola y=0.2x^2. If the component of velocity...
A particle travels along the path defined by the parabola y=0.2x^2. If the component of velocity along t he x axis is Vx=(2.9t)ft/s, where t is in seconds. determine the magnitude of the particle's acceleration when t = 1s. when t = 0 , x =0 and y = 0.
A particle is constrained to travel along a path on the xy-plane. r_x=(4t^4)m and r_y=2(sqrt(x)) where...
A particle is constrained to travel along a path on the xy-plane. r_x=(4t^4)m and r_y=2(sqrt(x)) where t is in seconds(rx and ry are the direction vectors of the particle), determine the magnitude of the particle's velocity and acceleration when t=0.5s
The Moon orbits the Earth in an approximately circular path. The position of the Moon as...
The Moon orbits the Earth in an approximately circular path. The position of the Moon as a function of time is given by x(t) = r cos(ωt) y(t) = r sin(ωt), where r = 3.84 10^8 m and ω = 2.46 10^-6 radians/s. What is the average velocity of the Moon measured over the interval from t = 0 to t = 3.54 days? Find its magnitude, in m/s, and find its direction, given as an angle measured counterclockwise from...
A charged particle enters a uniform magnetic field and follows the circular path shown in the...
A charged particle enters a uniform magnetic field and follows the circular path shown in the drawing. The particle's speed is 167 m/s, the magnitude of the magnetic field is 0.707 T, and the radius of the path is 659 m. Determine the mass of the particle, given that its charge has a magnitude of 6.68 × 10-4 C. '
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position,...
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the maximum value, at t = 0, moving to the right. The amplitude of the motion is 2.00 cm and the frequency is 1.50 Hz. (a) Find an expression for the position of the particle as a function of time. Determine (b) the maximum speed of the particle and (c) the earliest time (t > 0) at which the particle has this speed. Find...
A particle is moving along a straight line, and its position is defined by s =...
A particle is moving along a straight line, and its position is defined by s = (t2 - 6t +6) m. At t=6 seconds, find the following : a. the acceleration of the particle b. The average speed c. the average velocity
(a) A car is travelling around a circular path that such that its position from point...
(a) A car is travelling around a circular path that such that its position from point O is defined by r = 200 (4 – 2 sin θ) m. If the angular motion is defined by θ = (0.01t3) rad, determine the direction and magnitude of the car’s velocity and acceleration when θ = 1