Calculate the time it takes a plane travelling at a constant tangential speed of 110 m/s, to fly once around
a circle whose radius is 2850 m.
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Speed = distance / time. You’ve been given all the information you need in the question.
1. 100 s
2. 110 s
3. 120 s
4. 130 s
5. 140 s
but its a multiple choice question and these are the only possible answers
so, instead of learning math and physics, you want to learn how to use the internet?
that’s good too :)
You need to work out the circumference of the circle (circumference = 2 * pi * radius). This gives you the distance the plane needs to travel. Then you can use the plane’s speed and the equation above to work out how long it will take. The number you get won’t be exactly equal to any of the options, but just pick the closest one.
lol seriously dude, out of all the other questions i managed to answer, does this question make any sense at all to you? t=d/s => =2850/110=25.9s… thats not one of the options
Actually, I’ve just done this problem myself and none of those answers appear to be correct.
i’ve tried that also, it comes to 163 and that too isn’t an option
tangential speed - it probably means something? or they would have written speed?
Tangential speed means it’s always moving parallel to the surface of the circle. Basically, all that tells you is that the plane is itself moving in a circle.
then i got nothing. nothing closer then 163 anyway :/
i got 159 when not rounding off but that still is incorrect… what am i missing?
I think the problem’s in the question, not with your maths. If three of us are all getting the same wrong answer then there’s something wrong with the question. I would guess that the value they give you for the radius should be lower. Write down all your working out and the answer you get, and make a note that you think there’s a mistake in the question, and hand it in like that. Alternatively, if you get the chance you should mention it to whoever set you the problem before you hand it in.
its a multiple choice assignment and im studying through correspondence but there’s ample time before the due date so if there is really a mistake in the question then they will issue an errata memorandum closer to the submission date. Thank you very much for your help though, it comes highly appreciated. i have also posted another question which i need help with:
A dam is used to block the passage of a river and to generate electricity. Approximately 5.73×104 kg of
water fall each second through a height of 19.6 m. If one half of the gravitational potential energy of the
water were converted to electrical energy, how much power would be generated?
1. 5.50 × 106 W
2. 2.70 × 109 W
3. 1.10 × 107 W
4. 1.35 × 109 W
5. 1.25 × 105 W
Gravitational potential energy = mass * height * acceleration due to gravity (usually assumed to be 9.81 m/s/s unless otherwise specified)
i get option (3) as the most probable answer
Suppose that the radius of the circular path is R when the speed of the rocket is v and the acceleration
of the rocket has magnitude a. If the radius and speed are increased to 2R and 2v respectively, what is
the magnitude of the rocket’s subsequent acceleration?
1. a2
2. 2a
3. a
4. 4a
5. 8a
hi im doin this same assignment. for ure last question i got 2a THis can be seen by looking at the formula for acceleration in circular motion. a = v(sq) / r
Have the same problem with the one concerning “tangential speed” though.
The Answer to the orginal question is easy found if you use the equation
V=(2(pi)r)/T where T is the period or the time it takes to go around once. The question might be better thought of as what is the period of an object moving in a circle at 110m/s whose radius is 2850.
T=(2(pi)r)/v
T= 2*3.14*2850 all over 110
T=162.7 seconds
carringy significant figures
T = 160 seconds
Answer Taken from cutnell & johnson 8th ed. 2009-2007
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