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anonymous
 5 years ago
Hi,
Could you please help me with the following problem I'm trying to solve without success:
John and Jim are racing around a circular track in sports cars. The track has a radius of 400 M. John is leading the race by half a lap and both cars are initially traveling at 60 M/s. Jim than begins to accelerate (acceleration not given). After 50 seconds Jim catches up with John. What was Jim's acceleration ?
Thank You
anonymous
 5 years ago
Hi, Could you please help me with the following problem I'm trying to solve without success: John and Jim are racing around a circular track in sports cars. The track has a radius of 400 M. John is leading the race by half a lap and both cars are initially traveling at 60 M/s. Jim than begins to accelerate (acceleration not given). After 50 seconds Jim catches up with John. What was Jim's acceleration ? Thank You

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jagatuba
 5 years ago
Best ResponseYou've already chosen the best response.0Since Jim is 200m behind John (0.5*400m) then covering that distance in 50s is going to be 200m/50s.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thanks for your reply. Actually I should have said angular acceleration, not acceleration.

jagatuba
 5 years ago
Best ResponseYou've already chosen the best response.0Sorry was in another window.

jagatuba
 5 years ago
Best ResponseYou've already chosen the best response.0Hmmm. This seems like a physics question.

jagatuba
 5 years ago
Best ResponseYou've already chosen the best response.0So have you seen an equation that goes something like: \[a=v ^{2}\div r\]

jagatuba
 5 years ago
Best ResponseYou've already chosen the best response.0Ok so you are dealing with tangential and angular acceleration with those equations right? Those are the two things that are going to make up your angular acceleration.

jagatuba
 5 years ago
Best ResponseYou've already chosen the best response.0excuse me velocity not accelleration, but I think you knew what I meant.

jagatuba
 5 years ago
Best ResponseYou've already chosen the best response.0So you have another equation that goes something like this: \[a= 4\pi ^{2}r \div T ^{2}\]

jagatuba
 5 years ago
Best ResponseYou've already chosen the best response.0Since we know that Jim has to increase his velocity by 4m/s to catch up to John in 50 seconds. This would make his tangential velocity 64m/s.

jagatuba
 5 years ago
Best ResponseYou've already chosen the best response.0We also know the radius of the track 400m.

jagatuba
 5 years ago
Best ResponseYou've already chosen the best response.0So \[a=\left( 64m/s \right)^{2}\div 400m\]

jagatuba
 5 years ago
Best ResponseYou've already chosen the best response.0So the angular acceleration should be \[9.30909091m/s ^{2}\]

jagatuba
 5 years ago
Best ResponseYou've already chosen the best response.0I think . . . It's been a loooong time since physics so take that answer with a grain of salt. Check into the physics forum to be sure I'm getting my equations right.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thank You anyway. I'll try with the Physics forum
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