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POSSIBLE POINT 3.) A washing machine drum rotates at a speed of 1,500 rpm during the spin cycle. What is the angular velocity of the drum in radians per second? (25pi )/(2) radians per second 50pi radians per second 45,000pi radians per second 180,000pi radians per second

Problemas

POSSIBLE POINT
3.) A washing machine drum rotates at a speed of 1,500 rpm during the spin cycle. What is the angular velocity of the drum in radians per second?
(25pi )/(2) radians per second
50pi  radians per second
45,000pi  radians per second
180,000pi  radians per second

POSSIBLE POINT 3.) A washing machine drum rotates at a speed of 1,500 rpm during the spin cycle. What is the angular velocity of the drum in radians per second? (25pi )/(2) radians per second 50pi radians per second 45,000pi radians per second 180,000pi radians per second

Solución

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Vicenteprofessionell · Tutor durante 6 años
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The angular velocity of the drum is \(50π\) radians per second.

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## Step 1<br />The problem involves converting the rotational speed of a washing machine drum from revolutions per minute (rpm) to radians per second. The formula for this conversion is:<br />### **Angular Velocity (ω) = Rotational Speed (N) * (2π/60)**<br /><br />## Step 2<br />In this formula, ω represents the angular velocity, N is the rotational speed, and 2π/60 is the conversion factor from rpm to radians per second.<br /><br />## Step 3<br />Substitute the given rotational speed (1500 rpm) into the formula:<br />### **ω = 1500 * (2π/60)**<br /><br />## Step 4<br />Calculate the value of ω:<br />### **ω = 50π radians per second**
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