Two Oxford Admissions Questions, Pedulums and Aircraft

AI Thread Summary
The discussion focuses on two physics problems involving a pendulum and an aircraft's motion. For the aircraft question, the user calculates time based on speed and distance, but struggles with the relative speed concept and applying trigonometric rules for the trajectory. In the pendulum problem, they derive a formula for the period but are uncertain about the required values for calculations and the interpretation of the questions. The user expresses a need for guidance on the thought process rather than exact answers, especially before an upcoming test. Overall, the discussion highlights challenges in understanding physics concepts and problem-solving strategies.
alex3
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Though I'd scan for ease ;)

Homework Statement



Check the Pendulum question out http://dl.getdropbox.com/u/37461/physhelp/secC1.png and http://dl.getdropbox.com/u/37461/physhelp/secC2.png,and the http://dl.getdropbox.com/u/37461/physhelp/secB1.png.

Homework Equations



Should all be in the scans.

The Attempt at a Solution



See the http://dl.getdropbox.com/u/37461/physhelp/workings.png.

Aircraft question: a) seems to be obvious to me; traveling at 170km/h, needs to travel 300km. v = d/t, therefore t = d/v = 300/170 = 30/17 hours (no calculator allowed, left it in a fraction). As for b).. Drew a triangle, due north in an hour he should have traveled 170km, due 010 degrees he traveled 134km, but the question's five marks, and I can't think they expect us to know sin or cos of 10 or 80. The thing that really throws me on this question is that his speed is 'relative to the air'.

Pendulum: Got 2π\sqrt{\frac{r}{10}}, with r being the length of the pedulum. b) I got the same as a), but \frac{r}{15}. I was thrown on these two because the question said 'calculate', so I assume they want an actual integer, but I couldn't find a hint in the question to what r should be to substitute. c) was harder. Could not quite understand the question enough to answer it. d) seemed ok, I ended up with a messy fraction (right at the bottom of the workings scan) and thought I must have buggered up the algebra some where. e) would've probably have been fine if I got d).
I just need pointing in the right direction; it's more getting my head thinking along the right lines than getting the exact integer if required (though that'd be nice!) Thanks!
 
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I'm really sorry for bumping this, I know how irritating it is but I have this test tomorrow, and I know knowing these exact answer won't help for it but I'd like to get my head around the thinking.. :)
 
The aircraft one I have done. Draw a line to show how far he would have traveled in one hour due North, and then the line bearing 10 degrees. Join these two up. You've got two sides and an angle, so cosine rule.

I've done the test now, but I'm still curious about the pendulum one. Any takers?
 
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