Gradebook ORION Downloadable eTextbook ment FULL SCREEN PRINTER VERSION BACK Cha

Question

Gradebook ORION Downloadable eTextbook ment FULL SCREEN PRINTER VERSION BACK Chapter 05, Problem 59 [2 Your answer is partially correct. Try again. A block is hung by a string from the inside roof of a van. When the van goes straight ahead at a speed of 21.2 m/s, the block hangs vertically down. But when the van maintains this same speed around an unbanked curve (radius 111 m), the block swings toward the outside of the curve. Then the string vertical. Find . To center of curve Number T89 deg the tolerance is +/-2% SHOW HINT

Explanation / Answer

The centripetal acceleration of the block is

a = v^2 / r

a = (21.2 m/s)^2 / (111 m )

a = 4.05 m/s^2

The angle can be obtained from

= tan ^-1(a / g)

= tan^-1( 4.05 / 9.81)

= 22.43 degree

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