Resistive force question using T (tension)

Click For Summary
SUMMARY

The discussion centers on calculating the resistive force opposing a canal boat's forward motion when pulled by a horse using a rope at an angle of 12°. The tension in the rope is 1150 N, leading to the calculation of resistive forces using the equation T = T cos θ. The correct calculation yields a resistive force of 1125 N. Participants highlight issues with using scientific calculators, particularly in distinguishing between degrees and radians, which can lead to incorrect results.

PREREQUISITES
  • Understanding of basic physics concepts, specifically forces and tension.
  • Familiarity with trigonometric functions, particularly cosine.
  • Proficiency in using scientific calculators for trigonometric calculations.
  • Knowledge of angle measurement units: degrees and radians.
NEXT STEPS
  • Learn how to use scientific calculators effectively for trigonometric functions.
  • Study the principles of tension and forces in physics.
  • Explore the differences between degrees and radians in mathematical calculations.
  • Practice solving physics problems involving forces and angles to reinforce understanding.
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as anyone needing to apply trigonometric functions in real-world scenarios.

Siliconwombat
Messages
5
Reaction score
0

Homework Statement



A horse is pulling a canal boat using a rope at 12° to the direction of motion of the boat.
The tension in the rope is 1150 N.
(a) The canal boat is moving at a steady speed. Calculate the resistive force opposing
the boat’s forward motion.

Homework Equations



Answer sheet gives equation as:
T = T cos θ

The Attempt at a Solution



Solution is given as:

= 1150 N x cos 12°
= 1125 N
Therefore resistive forces = 1125 N

However I've tried two different scientific calculators. The windows version comes out at 13800 and googles version comes out at 970.43

Am I using these tools incorrectly or are they flawed with calculations of this type?

Many thanks, its driving me crazy!
 
Physics news on Phys.org
Hi Siliconwombat

Your 970 answer : you've put in 12 rad instead of 12°
Your 13800 answer : you've put in 12 instead of cos(12°) !

All it takes is a bit more care :-)
 
Well i feel a little stupid on the first one!
However on the second which was using the windows calculator I can't see any way of identifying the 12 as degrees? any hints?

Think I'll have to buy a proper calculator again!

You'll have to bear with me I'm coming back to physics after a long break to try and improve myself!

Thanks for your help :)
 
On my version of the Windows calculator, you can switch between "Standard" and "Scientific".
For the latter, there are radio buttons to choose from Degrees and Radians.
 
Actually scratch that, it seems to dislike my use of cos fullstop. Think Ill stick to google fr now ;)
 
Yeah I'm set on scientific and degrees but no matter which way I input the equation it only gives me 1150x12. It seems to ignore cos completely.
 
nvm its the opposite way round so input as 12 cos *1150.

Thanks for your help and please disregard my stupidity :)
 

Similar threads

  • · Replies 12 ·
Replies
12
Views
1K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 15 ·
Replies
15
Views
6K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
2
Views
1K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 25 ·
Replies
25
Views
5K
Replies
1
Views
4K