Find car's acceleration based on a die's angle

In summary, The question is asking for the car's acceleration given that a fuzzy die hanging from a string on the car's rear view mirror is deflected 15 degrees from the vertical. The mass of the die is 250g. The equations used to solve this problem are basic force equations and trigonometry. The attempt at a solution involved using a triangle with a 15 degree angle, but the calculations were incorrect. However, the method used was correct.
  • #1
PhysicslyDumb
4
0

Homework Statement


A fuzzy die hanging from a string of a car's rear view mirror is deflected 15 degrees from the vertical. what is the car's acceleration if the die's mass is 250g


Homework Equations


basic forces equations
trig


The Attempt at a Solution



attempt attached as a .png
 

Attachments

  • car acceleration.png
    car acceleration.png
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  • #2
PhysicslyDumb said:

Homework Statement


A fuzzy die hanging from a string of a car's rear view mirror is deflected 15 degrees from the vertical. what is the car's acceleration if the die's mass is 250g

Homework Equations


basic forces equations
trig

The Attempt at a Solution



attempt attached as a .png

Homework Statement


Homework Equations


The Attempt at a Solution


You have an error in Fx ?

if that is a triangle with a 15o angle, then the opposite side is not what you said - much smaller. The hypotenuse isn't that big either ?

Other than that, your reasoning is good.

EDIT: looks like you used 20o
 
  • #3
PeterO said:
You have an error in Fx ?

if that is a triangle with a 15o angle, then the opposite side is not what you said - much smaller. The hypotenuse isn't that big either ?

Other than that, your reasoning is good.

EDIT: looks like you used 20o

ahh right, the calculations are wrong, but is the method right?
 

1. What is the relationship between a car's acceleration and a die's angle?

The angle of a die can be used to determine the acceleration of a car because it represents the incline or decline of the surface the car is on. This incline or decline can affect the car's acceleration due to the force of gravity.

2. How is a die's angle measured?

A die's angle can be measured using a protractor or an inclinometer. These tools can accurately measure the angle of incline or decline of a surface.

3. Can a die's angle accurately determine a car's acceleration?

While a die's angle can provide a general idea of a car's acceleration, it is not the most accurate method. Other factors such as the car's weight, engine power, and road conditions also play a significant role in determining acceleration.

4. Is there a specific formula to calculate a car's acceleration based on a die's angle?

Yes, the formula is a = g * sin(angle), where "a" is the acceleration, "g" is the acceleration due to gravity (9.8 m/s^2), and "angle" is the angle of incline or decline in degrees.

5. How can this information be useful for car manufacturers?

Knowing the relationship between a car's acceleration and a die's angle can help manufacturers design more efficient and powerful engines for their vehicles. It can also aid in determining the appropriate gear ratios for different inclines and declines on the road.

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