<p>A solid sphere with uniform density and radius R&nbsp; is rotating initially with constant angular velocity&nbsp;<span class="equation">\((\omega_1)\)</span>&nbsp;about its diameter. After some time during the rotation its starts loosing mass at a uniform rate, with no change in its shape. The angular velocity of the sphere when its radius become R/2 is&nbsp;<span class="equation">\(x\omega_1\)</span>​​​​​​​. The value of x&nbsp; is____ _________.</p>