If you want to get Product id from order id in Woocommerce then fetch order details.

$order = new WC_Order( $order_id );
$items = $order->get_items();

then if you loop through them, you can get all the relevant data:

foreach ( $items as $item ) {
    $product_name = $item['name'];
    $product_id = $item['product_id'];
    $product_variation_id = $item['variation_id'];
}

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If you want to get list of all woocommerce orders by date then using below code. Here change the value of $your_date by yourself.
Assign particular date to $your_date. This code will return the list of woocommerce orders placed in a particular date.

	$your_date = '2016-09-23';
	$args = array(
			'post_type' => 'shop_order',
			'post_status' => 'publish',
			'posts_per_page' => -1,
			'date_query'=> array(
					'after' => $your_date,
					'inclusive' => true,
					)
		);
	$orders = get_posts($args);

Have any doubt, then comment here!