<div class="circle"></div>
<button class="button">Крутить барабан</button>
$(".circle").click(function (e){
e.target.style.transform = 'rotate('+Math.random()*1000+'rad)';
return false;
});
.circle {
width: 300px;
height: 300px;
background-image: url(../img/8776825_m.png);
transition: 5s;
transition-timing-function: ease-in-out;
}