*I tried the problem and came up with 4.00, but it said the answerwasn\'t correc
ID: 1737349 • Letter: #
Question
*I tried the problem and came up with 4.00, but it said the answerwasn't correct. So, could someone please explain to me, what thecorrect answer is? Thank you for your help.An airplane flies in a horizontal circle of radius 500 m at a speedof 150 m/s. If the plane were to fly in the same 1000 m circle at aspeed of 300 m/s, by what factor would its centripetal accelerationchange?
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Explanation / Answer
An airplane fliesin a horizontal circle of radius 500 m at a speed of 150m/s. If the plane were to fly in the " SAME "??? 1000 m circle at a speed of 300 m/s, by what factor would its centripetal accelerationchange? Case #1 is {R = 500 m, v = 150m/sec}. However, Case #2 is not clearly stated, since it's not clear what's meant bythe "SAME 1000 m circle". Isthis circle the "same" horizontal circle with {Diameter = 1000 m}, or is it the "same" horizontalcircle with {Radius = 1000 m}. We interpret the situationwith the latter values: {Case #1}: ----> {R = 500 m & v = 150m/sec} ----> (a_1) = (v^2)/R = ((150)^2)/(500) = 45 m/s^2 {Case #2}: ----> {R = 1000 m & v = 300m/sec} ----> (a_2) = (v^2)/R = ((300)^2)/(1000) = 90 m/s^2 ----> (a_2)/(a_1) = (90)/(45) = 2.0 .
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