Calculating Speed of Bowling Ball Down Incline

In summary, using relevant equations, a bowling ball with a mass of 5.45kg and a radius of .191m, starting from rest at a height of 1.8m and rolling down a 22.3m slope, will have a translational speed of approximately 6.43m/s when it leaves the incline.
  • #1
physicsgurl12
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Homework Statement


a bowling ball with a mass of 5.45kg and a radius of .191m starts from the rest at a height of 1.8m and rolls down a 22.3m slope. what is the translational speed of the ball when it leaves the incline.


Homework Equations



E=mgh +1/2mv^2+1/2Lw^2

The Attempt at a Solution


E=5.45kg*9.81m/s*1.8m+ 1/2 %.45kg* v^2+1/2 Lw^2
?is this even right?
 
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  • #2
Hi physicsgurl12! :smile:

physicsgurl12 said:

Homework Equations



E=mgh +1/2mv^2+1/2Lw^2

The Attempt at a Solution


E=5.45kg*9.81m/s*1.8m+ 1/2 %.45kg* v^2+1/2 Lw^2
?is this even right?

You need more relevant equations.
That is, you need one for L (although the symbol is usually I), and you need one for w (for which the symbol is usually ω).
Can you get those?

Furthermore you need to make a distinction between the initial position, where v and w are zero, and the final position, where h is zero.

The energy E in both the initial position and the final position must be the same.
 

What is the formula for calculating the speed of a bowling ball down an incline?

The formula for calculating the speed of a bowling ball down an incline is V = √(2gh), where V is the final velocity, g is the acceleration due to gravity (9.8 m/s^2), and h is the height of the incline.

How do you measure the height of the incline?

The height of the incline can be measured using a ruler or measuring tape. Place one end of the ruler at the bottom of the incline and measure vertically to the top of the incline.

What units should be used for the calculations?

The units for calculating the speed of a bowling ball down an incline should be consistent. The height of the incline should be in meters (m), the acceleration due to gravity should be in meters per second squared (m/s^2), and the final velocity will be in meters per second (m/s).

How does the mass of the bowling ball affect the speed down the incline?

The mass of the bowling ball does not affect the speed down the incline. According to the formula, the final velocity is only dependent on the height of the incline and the acceleration due to gravity, not the mass of the object.

Can this formula be used for objects other than a bowling ball?

Yes, this formula can be used for any object rolling down an incline as long as the object is not bouncing or experiencing significant air resistance. The only variables that may change are the mass of the object and the acceleration due to gravity, depending on the location.

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