97.9747 = sinh (6.2737x10^9) How did they solve this?

  • Thread starter Thread starter j2dabizo
  • Start date Start date
AI Thread Summary
The equation 97.9747 = sinh(6.2737x10^9) raises questions about how to derive the value 5.2779. The confusion stems from the calculation process, with one suggestion being to use the inverse hyperbolic sine function, arcsinh. It was clarified that the correct approach involves calculating sinh^-1(97.9747) to arrive at the solution. The discussion highlights the importance of verifying the equation and understanding the mathematical functions involved. Ultimately, the solution is found through the application of the inverse hyperbolic sine.
j2dabizo
Messages
19
Reaction score
0
97.9747 = sinh (6.2737x10^9) How did they solve this??

Homework Statement



Just an equation that I don't understand how they calculated.

97.9747 = sinh(6.2737x109)...
6.2737x109 = 5.2779

how did they get the 5.2779 ??

Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org


Can't you just take arcsinh?
 


That's not even close to correct. What context is this being brought up and are you sure you read it correctly or is not a typo?
 


j2dabizo said:

Homework Statement



Just an equation that I don't understand how they calculated.

97.9747 = sinh(6.2737x109)...
6.2737x109 = 5.2779

how did they get the 5.2779 ??

Homework Equations





The Attempt at a Solution


nevermind..had a brain fart ...just sinh-1(97.9747)
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Speed of rocket as viewed from Earth
Replies
4
Views
2K
Lagrangian for a bead on a wire
Replies
1
Views
3K
How should I show that ## B ## is given by the solution of this?
Replies
2
Views
1K
What is the role of sinh in Snell's Law?
Replies
6
Views
2K
How Does Magnetic Moment Change with Temperature and Field Strength?
Replies
4
Views
2K
Determine whether ## S[y] ## has a maximum or a minimum
Replies
18
Views
3K
QM - Transmission coefficient for square well
Replies
3
Views
2K
How should I show that this root is given approximately by this?
Replies
2
Views
2K
Worldlines and spacetime diagrams
Replies
4
Views
2K
So the webpage title would be: How do you show that sin i*theta = i*sinh(theta)?
Replies
11
Views
5K

Hot Threads

Recent Insights

Back
Top