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quawa99
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Is it possible to determine which side of a coin is going to turn up when you toss one?If possible what all information would be required to do so?
SteamKing said:You about to enter a big quarter flipping contest?
quawa99 said:Assuming that we know the impulse imparted to the coin,the point of application of impulse ,the dimensions and mass of the disc:
1)The angular velocity of the coin can be calculated.
2)The time of flight can be calculated.
jbriggs444 said:In addition, it is not clear that imparting the impulse will result in a pure rotation about a single horizontal axis.
quawa99 said:It doesn't need to rotate purely about a horizontal axis does it?
Anyway the impulse will give the center of mass a linear vertical velocity plus some angular moment about a horizontal axis passing through it.So the coin undergoes rotational as well as translatory motion.The angular momentum about the axis passing through the center of mass should remain constant as gravity is the only force which cannot cause any torque.Hence the angular velocity will remain constant.
jbriggs444 said:The impulse will not neccessarily give an angular moment about a horizontal axis. It may include a component about a vertical axis.
quawa99 said:What if the disc is kept horizontal and a perfectly vertical impulse is given
Yes, we can predict the outcome of tossing coins by using probability and understanding the factors that influence the outcome.
Probability is the likelihood of a specific outcome occurring. In tossing coins, there are only two possible outcomes (heads or tails), so the probability of getting either outcome is 50%. By understanding this concept, we can make predictions about the outcome of tossing coins.
The main factor that influences the outcome of tossing coins is the initial state of the coin. If the coin is perfectly balanced and flipped with consistent force and height, then the outcome is more likely to be random. However, external factors such as wind or the surface the coin lands on can also play a role.
No, even with a thorough understanding of probability and the factors that influence the outcome, there is still an element of chance involved in tossing coins. While we can make educated guesses, the outcome will ultimately be random.
The outcome of tossing coins can be useful in decision-making processes. For example, if a decision needs to be made between two options, a coin toss can help to eliminate bias and make a fair choice. Additionally, it can be used in statistical analyses and simulations to model real-life scenarios.