MHB Finding distance between two adjacent objects

  • Thread starter Thread starter chr1is
  • Start date Start date
AI Thread Summary
To find the distance between two adjacent holes drilled in a circle with a radius of 16.40 cm, one can use the Law of Cosines by forming an isosceles triangle with the circle's center and the two holes. The two equal sides of the triangle represent the radius, and the angle between them can be calculated since there are 12 holes equally spaced around the circle. Alternatively, the Law of Sines can be applied for a simpler computation. Multiplying the radius by 2 is not necessary for this calculation. The discussion emphasizes using trigonometric laws to determine the distance effectively.
chr1is
Messages
1
Reaction score
0
I have a question:

Holes are to be drilled in a metal plate at 12 equally spaced locations around a circle with a radius of 16.40 cm. Find the distance between two adjacent holes.

How do I draw the figure? And would I have to multiply 16.40 by 2 to get the distance?
 
Mathematics news on Phys.org
One way would be to use the Law of Cosines...form an isosceles triangle using the center of the circle and two adjacent holes...you know the two equal sides of the triangle are the radius of the circle, and you know the angle subtending these sides, so you can find the third side using the Law of Cosines. You could also use the Law of Sines here as well, which would likely be computationally simpler.
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Thread 'Non-orthogonal bases'

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
View full post »

Similar threads

MHB Find the square of the distance
Replies
1
Views
1K
MHB Find the distance between points C and D if the height of the tree is 4m
Replies
1
Views
2K
B Reprise: Calculate the distance between two points without using a coordinate system
Replies
1
Views
2K
I Find the distance between the two apexes of two three-sided pyramids
Replies
2
Views
1K
Gap needed for two adjacent aerodynamic blades to be useful
Replies
10
Views
4K
MHB How Do You Calculate the Distance Between Two Ships Using Angles of Depression?
Replies
1
Views
1K
B Cartesian Space vs. Euclidean Space
Replies
10
Views
2K
I Two Dimensional Coordinate Plane with Distance as Third Dimension
Replies
3
Views
2K
Equivalence between Bravais lattice definitions
Replies
0
Views
959
MHB What Is the Distance Between Lines HO and PB in a Cuboid?
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top