A circular rim 28 inches in diameter rotates the same number of inches per secon

游客2024-01-13 55

问题 A circular rim 28 inches in diameter rotates the same number of inches per second as a circular rim 35 inches in diameter．If the smaller rim makes X revolutions per second，how many revolutions per minute does the larger rim make in terms of X?

选项 A、48π/X
B、75X
C、48X
D、24X
E、X/75

答案 C

解析 Since the smaller rim has diameter 28 inches and rotates x revolutions per second, it rotates 2Snx inches per second. If y represents the number of revolutions the larger rim rotates per second, then the larger rim rotates 35πy inches per second. Since the rims rotate the same number of inches per second, it follows that 28πx = 35πy.
Then y =28x/35=4x/5 inches per second or 4x/5(60) = 48x inches per minute.
The correct answer is C.

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A circular rim 28 inches in diameter rotates the same number of inches per secon

Normallyastudentmustattendanumberofcoursesinordertograduate,and

ItusedtodistresslargenumbersofEasternpeopleswholivedmainlyonrice.它

MorethanonemillionyoungpeopleinBritainareunemployed,thehighestnumber

这种疾病困扰着大多数以米饭为主食的东方人。ItdistressedlargenumbersofEasternpeoplewholivedmai

Iamafraidthathisphonenumberhasslippedmy______forthemoment.A、headB、

Thenumberofmembersintheclub________totwohundred.A、werelimitedB、limits

Agoodtitleforthispassageis______.[br]Theaveragenumberofhoursofsle

TheAmericanandtheBritish______alargenumberofsocialcustoms.A、joinB、tak

Thenumberofcollegegraduatesgoingintobusiness-relatedfieldshas______incr

Thenumberofprimaryschoolsintheruralareas______doublinginthepast50ye

Forcenturies,explorershaveriskedtheirlivesventuringintotheunknown

[originaltext]W:John,doyourealizethatChristmasisonlyamonthaway?We’v

LisaFryandPaulaTurnergrewupacrossthestreetfromeachotherinTwin

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