Angle due to angular acceleration

In summary, the conversation discusses the problem of finding the angle at which a curve of radius 54.7 m should be banked so that a car of mass 2.4 Mg traveling at a uniform speed of 51 km/hr can round the curve without relying on friction. The equation ma=mv^2/r is mentioned, but it is noted that the angle of the curve must be taken into account. The use of tan(theta)ma=mv^2/r is suggested, but further explanation is needed to properly solve the problem.
  • #1
notsam
50
0

Homework Statement

A curve of radius 54.7 m is banked so that
a car of mass 2.4 Mg traveling with uniform
speed 51 km/hr can round the curve without
relying on friction to keep it from slipping on
the surface.At what angle is the curve banked? The
acceleration due to gravity is 9.8 m/s2 .
Answer in units of degrees.



Homework Equations

a=v^2/r, tan(theta)=o/a, f=ma, f=mv^2/r



The Attempt at a Solution

Ok so here's what I think. The basic equation should look something like this. ma=mv^2/r except its at an angle so. Maybe tan(theta)ma=mv^2/r?
 
Physics news on Phys.org
  • #2
hi notsam! :smile:

(try using the X2 icon just above the Reply box :wink:)
notsam said:
Ok so here's what I think. The basic equation should look something like this. ma=mv^2/r except its at an angle so. Maybe tan(theta)ma=mv^2/r?

come off it! :rolleyes:

to pass the exams, you need to give a proper explanation …

now which direction do you think you should be taking components in (and why)? :smile:
 

What is the definition of angle due to angular acceleration?

Angle due to angular acceleration is a measure of the amount of rotation an object undergoes per unit time due to an applied angular acceleration.

How is angle due to angular acceleration related to angular velocity?

Angle due to angular acceleration is directly proportional to angular velocity, meaning that the more an object accelerates, the faster it will rotate.

What is the unit of measurement for angle due to angular acceleration?

The unit of measurement for angle due to angular acceleration is radians per second squared (rad/s²).

How is angle due to angular acceleration calculated?

Angle due to angular acceleration can be calculated by multiplying the angular acceleration (in radians per second squared) by the square of the time (in seconds).

How does angle due to angular acceleration affect the motion of an object?

Angle due to angular acceleration affects the motion of an object by determining the rate of change of the object's angular position. A higher angular acceleration will result in a faster change in position, while a lower angular acceleration will result in a slower change in position.

Similar threads

  • Introductory Physics Homework Help
Replies
3
Views
219
  • Introductory Physics Homework Help
Replies
12
Views
2K
  • Introductory Physics Homework Help
Replies
32
Views
1K
  • Introductory Physics Homework Help
Replies
7
Views
985
  • Introductory Physics Homework Help
Replies
15
Views
3K
  • Introductory Physics Homework Help
Replies
24
Views
2K
  • Introductory Physics Homework Help
10
Replies
335
Views
8K
  • Introductory Physics Homework Help
Replies
7
Views
1K
  • Introductory Physics Homework Help
Replies
15
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
2K
Back
Top