According to the Guinness book of world records (1990) thehighest rotary speed e

Question

According to the Guinness book of world records (1990) thehighest rotary speed ever attained was 2010 m/s (4500 mph). Therotationg tod was 15.3cm (6in) long. Assume that the speed quotedis that of the end of the rod. a.) What is the centtipetal accelearation of the end of therod? b.) If you were to attach a 1.0g object to the end of the rod,what force would be needed to hold it on the rod. According to the Guinness book of world records (1990) thehighest rotary speed ever attained was 2010 m/s (4500 mph). Therotationg tod was 15.3cm (6in) long. Assume that the speed quotedis that of the end of the rod. a.) What is the centtipetal accelearation of the end of therod? b.) If you were to attach a 1.0g object to the end of the rod,what force would be needed to hold it on the rod.

Explanation / Answer

The highest rotary speed ever attained was v = 2010m/s (4500 mph) The length of the rotating tod was l = 15.3 cm = 15.3 *10-2 m a.)The centtipetal accelearation of the end of the rodis a = (v2/l) or a = ((2010)2/(15.3 * 10-2)) = 2640.6* 104 m/s2 b.)When a 1.0g object is attached to the end of the rod,thenthe force needed to hold it on the rod is F = (m * v2/l) Here,m = 1.0 g = 1.0 * 10-3 kg or F = (1.0 * 10-3 * (2010)2/15.3 *10-2) or F = 26405.9 N b.)When a 1.0g object is attached to the end of the rod,thenthe force needed to hold it on the rod is F = (m * v2/l) Here,m = 1.0 g = 1.0 * 10-3 kg or F = (1.0 * 10-3 * (2010)2/15.3 *10-2) or F = 26405.9 N

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