Question

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.

Answer #1

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 = 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 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 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 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 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 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, 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 = (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 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

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 16 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago