Resistive force question using T (tension)

AI Thread Summary
A horse pulls a canal boat with a rope at a 12° angle, creating a tension of 1150 N. The resistive force opposing the boat's motion is calculated using the equation T = T cos θ, resulting in 1125 N. The user struggled with calculator inputs, initially getting incorrect values due to confusion between degrees and radians. Clarifications were provided on how to properly input the cosine function in different calculators. The discussion highlights the importance of careful calculations and understanding calculator settings when solving physics problems.
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 :)
 
Back
Top