In the hammer throw, an athlete spins a heavy mass in a circle at the end of a c

Question

In the hammer throw, an athlete spins a heavy mass in a circle at the end of a cable before releasing it for distances as shown in Figure 1. For male athlete the ldquo hammers rdquo is a mass of 7.3 kg at the end of a 1.2 m cable, which is typically a 3.0-mm diameter steal cable. A world-glass thrown can get the hammer up to a speed of 29 m/s, if an athlete swings the mass in a horizontal circle centered on the handle the uses to hold the cable. What is the tension in the cable?Neglect the gravity. Express your answer to two significant figures and include the appropriate units. Submit How much does the cable stretch? Young modulus for steal is 20 Times 10^10 N/m^2. Express your answer to two significant figures and include the appropriate units. Submit

Explanation / Answer

Tension T = Centripetal force = mv^2/R

m is mass

v is velocity

R is radius

so

T = 7.3* 29^2/1.2

T = 5116.06 N

-------------

Youngs modulus Y = (F/A)/(dL/L)

Y = F L/(AdL)

dL = F L/(AY)

dL = (5116.06 * 1.2)/(3.14 *1.5*10^-3*1.5 *10^-3 * 20 *10^10)

dL = 4.4 *10^-3 mm

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