document.write( "Question 1208203: A car is moving at a rate of 50 miles per hour with a wheel radius of 16 inches, find the Angular speed in radians per minute and the number of revolutions per minute \n" ); document.write( "

Algebra.Com's Answer #846468 by mccravyedwin(406) $\"\"$ $\"About$

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document.write( "A car is moving at a rate of 50 miles per hour with a wheel radius of 16 inches,\r\n" );
document.write( "find the Angular speed in radians per minute and the number of revolutions per\r\n" );
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document.write( "16 inches =  ft. So the circumference of the wheel is\r\n" );
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document.write( "In 1 hour it has 'rolled out' 50 miles or 50x5280 ft or 264000 feet.\r\n" );
document.write( "So in 1 minute it has 'rolled out' 264000/60= 4400 ft.\r\n" );
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document.write( "So we find how many circumferences it 'rolls out' in 1 minute.\r\n" );
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document.write( "When the wheel has rolled out 1 circumference, that's 1 revolution.\r\n" );
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document.write( "So  revolutions per minute or about 525.2 rpms.\r\n" );
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document.write( "That's the answer to the second part.\r\n" );
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document.write( "Each revolution is  radians so we divide  by \r\n" );
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document.write( "and get  radians per minute\r\n" );
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document.write( "or about 83.6 radians per minute.\r\n" );
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document.write( "That's the answer to the first part.\r\n" );
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document.write( "Edwin

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