Question

7. A 500 kg car goes around turn in the road that has a radius of curvature of 5 m. The car is traveling at a constant speed of 10 m/s.

(i) What is the centripetal force required to keep the car from sliding out as it goes around the turn?

(ii) What must be the coefficient of friction between the tires of the car and the road in order for the car to not sliding as it goes around the turn?

8. A rigid object with moment of inertia 25 Kg m^2 is spinning around a fixed axis with angular speed of 10 rad/s. A constant torque of 50 Nm is applied in a direction that slows down the rotation, for 2 seconds.

(i) Calculate the angular speed of the object at t = 5 s.

(ii) Calculate the kinetic energy of the object at t = 5 s.

9.A disc of moment of inertia 10 kg m^2 about its center rotates about the center with an angular velocity of 20 rad/s. Calculate:

(i) its rotational energy

(ii) its angular momentum about the center

(iii) the number of revolutions per second of the disc

10.A constant torque of 100 N m turns a wheel which has a moment of inertia 10 kg ms^2 about its center. Find:

(i) the angular velocity gained in 2 second

(ii) the kinetic energy gained in 2 seconds.

11. Calculate the K.E. of the earth due to its rotation about its own axis. Mass of the earth is 6 x10^24 kg and radius of the earth is 6400 km.

12. The moment of inertia of a wheel is 1000 kgm^2. At a given instant, its angular velocity is 10 rad/s. After the wheel rotates through an angle of 100 radian, the wheel’s angular velocity is 100 rad/s. Calculate,

(i) the torque applied on the wheel

(ii) the increase in rotational kinetic energy

13. A disc of mass 5 kg and radius 40 cm rotates about an axis passing through its center and perpendicular to its plane. It makes 10 revolutions in one second. Calculate its ,

(i) rotational KE

(ii) angular momentum

Answer #1

You did not mention the question no you wanted!

1.What is the magnitude of angular momentum of a 1070 kg car
going around a circular curve with a 15.0 m radius at 12.0 m/s?
Assume the origin is at the center of the curve's arc.
2.A solid uniform sphere of mass 3.7 kg and radius 0.051 m
rotates with angular velocity 7.3 rad/s about an axis through its
center. Find the sphere’s rotational kinetic energy.
3.How far from the pivot of a horizontal seesaw should a
28.0-kg child sit...

Point Pis on the rim of a large
Spinning Disk of mass 10.0 kg and radius 2.58 m.
At time t=0.00 s the disk has an angular velocity of 4.00 rad/s and
rotates counterclockwise about its center O, and
Pis on the x-axis. A net applied CW torque of 20.0
m-N causes the wheel to undergo a uniform angular acceleration. The
magnitude of the total acceleration (m/s2) at point
Pwhen t = 15.0 s is? The angular velocity of the...

A car has a mass of 2630 kg. The mass of the wheel is 6kg. The
mass of the tire is 25 kg. The radius of the wheel is 0.4 meters,
and the radius of the tire is 0.2 meters.
Assuming that the shape of the wheels is a solid cylindrical
disc, determine the moment of inertia of the wheel. And assuming
that the shape of the tire is a thin cylinder shell, determine the
moment of inertia of the...

A 0.50 m radius, 1.5 kg wheel is
accelerated from rest at 3.00 rad/s2 for 8.00
seconds. Find the following:
Given:
a. The moment of inertia of the wheel.
b. The torque acting on the wheel.
c. The final angular velocity after the 8 seconds.
d. The final rotational kinetic energy after the 8 seconds.

A uniform disk of mass Mdisk = 4 kg and radius R =
0.24 mhas a small block of mass mblock = 2.2 kg on its
rim. It rotates about an axis a distance d = 0.16 m from its center
intersecting the disk along the radius on which the block is
situated.
What is the moment of inertia of the block about the rotation
axis?
What is the moment of inertia of the disk about the rotation
axis?
When...

Mechanics question:
A car has a mass of 2630 kg. The mass of the wheel is 6kg. The
mass of the tire is 25 kg. The radius of the wheel is 0.4 meters,
and the radius of the tire is 0.2 meters.
Assuming that the shape of the wheels is a solid cylindrical
disc, determine the moment of inertia of the wheel. And assuming
that the shape of the tire is a thin cylinder shell, determine the
moment of inertia...

1) a)
Consider a particle of mass m = 22.0 kg revolving around an axis
with angular speed ω omega. The perpendicular distance from the
particle to the axis is r = 1.75 m . (Figure 1)
Which of the following are units for expressing rotational
velocity, commonly denoted by ωωomega?
Check all that apply.
( ) radians per second
( ) degrees per second
( ) meters per second
( ) arc seconds
( ) revolutions per second
1)...

A turntable has moment of inertia 1 kg m2 and rotates
with angular speed of 3 rad/s. A small heavy mass (point particle)
of mass 5 kg is placed on the turn table at 2 m from the axis of
rotation of the turn table. What is the final rotational velocity
of the system? Give your result in rad/s to three significant
figures.

A car's wheel has a rotational inertia of 2.8 kg m2.
Working in a coordinate system where counterclockwise is positive,
answer the following questions. Treat parts a, b, and c as
stand-alone questions; the response from one is not needed for the
following parts.
a) If the wheel is spinning with an angular velocity of 6 rad/s
counterclockwise and then a torque of 15 N m is applied over a time
interval of 4 s, What is the wheel's final...

1. A soup can rolks down a ramp from a height of 7 m. Find the
velocity at the bottom. I = 1/2 m r^2
2. If a communication satellite is going to be placed in orbit
around earth at a distance of 8×10^8 m from center, fond the speed
it needs to move in order to stay in orbit. The mass of the earth
is 6×?10^24 kg. G=6.67×10^-11 N m^2/kg^2.
3. A baseball bat has a length of 1.2...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago