Question

A race car accelerates uniformly from a speed of 32 m/s to a speed of 63 m/s in 5.1 s while traveling counterclockwise around a circular track of radius of 422 m. When the car reaches a speed of 46 m/s, find the magnitude of the total acceleration (centripetal + tangential acceleration) in m/s2.

Answer #1

3. A helicopter travelling at a velocity of 15 m/s [W]
accelerates uniformly at a rate of 7.0 m/s2 [E] for 4.0 s. What is
the helicopter’s final velocity?
4. Two go-carts, A and B, race each other around a 1.0
km track. Go-cart A travels at a constant speed of 20.0 m/s.
Go-cart B accelerates uniformly from rest at a rate of 0.333 m/s2 .
Which go-cart wins the race and by how much time?
5. A boat increases...

A race-car driver is driving her car at a record-breaking speed
of 225 km/h. The first turn on the course is banked at 15, and the
car’s mass is 1450 kg.
find :
a) Calculate the radius
of curvature for this turn.
b) Calculate the
centripetal acceleration of the car.
c) If the car
maintains a circular track around the curve (does not move up or
down the bank), what is the magnitude of the force of static
friction?...

a) A car accelerates uniformly from rest and reaches a speed of
13.7 m/s in 10.9 s. The diameter of a tire is 71.8 cm. Find the
number of revolutions the tire makes during this motion, assuming
no slipping. Answer in units of rev.
b) What is final rotational speed of a tire? Answer in units of
rev/s.

A car starts from rest and drives around a circular track with a
radius of 45.0 m at constant tangential acceleration. If the car
takes 27.0 s in its first lap around the track, (a) what is the
magnitude of its overall acceleration at the end of that lap? (b)
What angle does the acceleration vector make with a radius
line?

A new car is tested on a 230-m-diameter track. If the car speeds
up at a steady 1.6 m/s2 , how long after starting is the magnitude
of its centripetal acceleration equal to the tangential
acceleration

An automobile moves on a circular track of radius 1.04 km. It
starts from rest from the point (x, y) = (1.04 km, 0 km) and moves
counterclockwise with a steady tangential acceleration such that it
returns to the starting point with a speed of 29.2 m/s after one
lap. (The origin of the Cartesian coordinate system is at the
center of the circular track.)
What are the car's position and velocity vectors when it is
one-sixth of the way...

a
car accelerates at a constant rate from zero to 9.7 m/s in 5.2
seconds and then slows to 5.1 m/s in the next 1.4 seconds. What is
its average acceleration in m/s2 during the overall time
period?

(a) What is the magnitude of the tangential acceleration of a
bug on the rim of an 11.5-in.-diameter disk if the disk accelerates
uniformly from rest to an angular speed of 75.0 rev/min in 4.00
s?
m/s2
(b) When the disk is at its final speed, what is the magnitude of
the tangential velocity of the bug?
m/s
(c) One second after the bug starts from rest, what is the
magnitude of its tangential acceleration?
m/s2
(d) One second after...

a) A 2.00 kg stone is whirled in a circle by a rope 4.00 m long,
completing 5 revolutions in 2.00 s. Calculate the tension in the
rope if the stone is rotated horizontally on a smooth frictionless
surface.
Input your answer in Newtons but do not include the unit in your
answer.
b) What is the centripetal acceleration of a locomotive that
travels around a circular curve of radius 250 m at a constant speed
of 70 km/h?Input your...

(a) What is the magnitude of the tangential acceleration of a
bug on the rim of a 10.5-in.-diameter disk if the disk accelerates
uniformly from rest to an angular speed of 76.0 rev/min in 4.00 s?
_________m/s2
(b) When the disk is at its final speed, what is the magnitude
of the tangential velocity of the bug? ______m/s
(c) One second after the bug starts from rest, what is the
magnitude of its tangential acceleration?______ m/s2
(d) One second after...

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